1
00:00:00,000 --> 00:00:05,860
Okay, what we are going to record is the class of how to make powers of whole numbers.

2
00:00:06,339 --> 00:00:10,199
So, let's start with the first example. We know what a power is.

3
00:00:10,660 --> 00:00:12,339
5 squared, what would it be?

4
00:00:14,039 --> 00:00:15,179
5 by 5.

5
00:00:16,120 --> 00:00:21,079
No, the definition of power. We are going to work only with the powers, sorry, without the final result.

6
00:00:21,699 --> 00:00:24,359
And if I have 5 cubed, what would it be?

7
00:00:24,559 --> 00:00:25,160
5 by 5.

8
00:00:25,160 --> 00:00:25,719
5 by 5.

9
00:00:25,719 --> 00:00:49,880
Vale, pues el mismo concepto de potencia lo puedo aplicar a una base, esta base que es positiva también podría tenerla, ¿de qué tipo? Ahora que estoy trabajando con heteros, negativa, entonces si yo quisiera hacer menos 5 al cuadrado tendría que coger el menos 5 entero y elevarlo al cuadrado, ¿qué sería?

10
00:00:49,880 --> 00:01:00,679
that is minus 5 times minus 5 and as we have said that the base is minus 5, we have to multiply it

11
00:01:00,679 --> 00:01:09,840
whole and we do the same thing we saw yesterday first we operate signs then we operate numbers what

12
00:01:09,840 --> 00:01:14,579
happens is that normally the numbers are going to be very large and we are going to leave them in the form of

13
00:01:14,579 --> 00:01:22,700
potencia de base positiva las potencias de base negativa siempre las voy a dejar

14
00:01:22,700 --> 00:01:30,659
como potencias de base positiva operando el signo entonces como operaría yo estos

15
00:01:30,659 --> 00:01:35,260
signos menos por menos más

16
00:01:42,920 --> 00:01:50,459
las potencias lo vamos a ver como las operas pero esto sería más 5 al cuadrado

17
00:01:50,459 --> 00:01:54,280
sólo quiero la expresión de la potencia operando el signo no vamos a trabajar

18
00:01:54,280 --> 00:01:57,900
todavía con propiedades con potencias es lo que vamos a ver después vale las

19
00:01:57,900 --> 00:01:59,400
We are going to see the powers later.

20
00:01:59,920 --> 00:02:06,239
So, I would have two minus signs and I would have 5 by 5, which would be 5 squared.

21
00:02:07,079 --> 00:02:09,939
Notice that this is what I want you to see well.

22
00:02:10,620 --> 00:02:16,969
This is a power of base...

23
00:02:16,969 --> 00:02:17,990
Of what sign?

24
00:02:18,990 --> 00:02:19,349
Negative.

25
00:02:19,349 --> 00:02:19,509
Negative.

26
00:02:24,110 --> 00:02:34,180
This is a power of base...

27
00:02:34,180 --> 00:02:35,099
Positive.

28
00:02:35,620 --> 00:02:36,060
Positive.

29
00:02:36,379 --> 00:02:38,479
Has it been clear?

30
00:02:39,620 --> 00:02:41,000
Has everyone been clear?

31
00:02:41,039 --> 00:02:42,319
At the moment, everyone has it clear?

32
00:02:43,400 --> 00:02:43,879
Okay.

33
00:02:44,460 --> 00:02:45,520
Let's see what happens

34
00:02:45,520 --> 00:02:48,719
if I now...

35
00:02:48,719 --> 00:02:52,659
Well, I'm not going to delete it.

36
00:02:52,860 --> 00:02:53,900
I'm going to add a page.

37
00:02:56,000 --> 00:02:57,280
If I now have

38
00:02:57,280 --> 00:02:58,780
minus 5

39
00:02:58,780 --> 00:03:00,199
raised to the cube.

40
00:03:00,419 --> 00:03:03,099
Is this a positive or negative base power?

41
00:03:03,520 --> 00:03:03,960
Negative.

42
00:03:05,099 --> 00:03:06,680
Okay, because I multiply

43
00:03:06,680 --> 00:03:11,580
Minus 5 times minus 5 times minus 5.

44
00:03:12,300 --> 00:03:14,819
First I operate signs, only I operate signs.

45
00:03:14,939 --> 00:03:15,439
What will I get?

46
00:03:15,639 --> 00:03:16,199
Minus 5.

47
00:03:17,740 --> 00:03:19,580
And then what power would I get?

48
00:03:19,819 --> 00:03:21,500
5 times 5 times 5, what would it be?

49
00:03:21,840 --> 00:03:22,620
5 to the cube.

50
00:03:23,300 --> 00:03:24,080
5 to the cube.

51
00:03:25,620 --> 00:03:27,520
This is a base power.

52
00:03:28,740 --> 00:03:29,300
No.

53
00:03:31,900 --> 00:03:33,259
No, it's not the same.

54
00:03:33,360 --> 00:03:34,240
That's what I want you to see.

55
00:03:35,419 --> 00:03:36,539
It's not the same.

56
00:03:36,680 --> 00:03:47,439
no es lo mismo fíjate mira esto es una potencia de base positiva porque no

57
00:03:47,439 --> 00:03:57,659
porque esto en realidad es menos 5 x 5 x 5 quien se repite el 5 es positivo o

58
00:03:57,659 --> 00:04:03,979
negativo por eso es una potencia de base positiva este es el opuesto de una

59
00:04:03,979 --> 00:04:31,279
power of positive base, that is, the parenthesis is only different in that if it carries parentheses it is negative, if it does not carry the positive, of course, notice that here what you are multiplying is minus 5 by minus 5 by minus 5, because when it is in the parenthesis, the 3 affects the minus, the base, the 3 affects the minus, then that is the important thing, this is what you have to distinguish well, you have to learn to see it, if I have minus 5 here

60
00:04:31,279 --> 00:04:32,899
Elevado al cubo

61
00:04:32,899 --> 00:04:34,920
Lo que tengo es una potencia

62
00:04:34,920 --> 00:04:37,420
De base negativa

63
00:04:37,420 --> 00:04:42,699
Esto de aquí

64
00:04:42,699 --> 00:04:44,579
Es una potencia

65
00:04:44,579 --> 00:04:46,699
De base

66
00:04:46,699 --> 00:04:48,800
Negativa

67
00:04:48,800 --> 00:04:51,519
Y sin embargo

68
00:04:51,519 --> 00:04:52,339
Aquí

69
00:04:52,339 --> 00:04:54,540
El signo ya lo he operado

70
00:04:54,540 --> 00:04:56,139
¿Cuántos signos menos hay aquí?

71
00:04:56,420 --> 00:04:57,860
Solo uno

72
00:04:57,860 --> 00:05:00,620
Así que es el opuesto

73
00:05:00,620 --> 00:05:03,339
de una potencia

74
00:05:03,339 --> 00:05:05,779
no, de base

75
00:05:05,779 --> 00:05:07,899
positiva

76
00:05:07,899 --> 00:05:12,209
porque lo único que se repite

77
00:05:12,209 --> 00:05:14,170
es el 5, y el 5 es positivo

78
00:05:14,170 --> 00:05:15,649
entonces tengo un menos

79
00:05:15,649 --> 00:05:17,990
y luego la potencia de 5 por 5 por 5

80
00:05:17,990 --> 00:05:19,949
así que

81
00:05:19,949 --> 00:05:22,310
aunque el resultado sea

82
00:05:22,310 --> 00:05:24,209
menos 125 en ambos

83
00:05:24,209 --> 00:05:26,069
casos, no es lo mismo

84
00:05:26,069 --> 00:05:28,170
tener una potencia de base

85
00:05:28,170 --> 00:05:30,610
negativa, que tener el opuesto

86
00:05:30,610 --> 00:05:32,389
de una potencia de base

87
00:05:32,389 --> 00:05:43,730
positive. Has it been clear? How many less signs do I have on the left? 3, 1, 2 and 3. Here I have

88
00:05:43,730 --> 00:05:53,610
three less signs. How many less signs do I have here? 1. Have we understood it? Let's make an example.

89
00:05:53,610 --> 00:06:03,310
And if I put this, how many less signs do you have here?

90
00:06:03,790 --> 00:06:04,149
Two.

91
00:06:04,509 --> 00:06:04,709
No?

92
00:06:05,189 --> 00:06:05,509
One.

93
00:06:05,850 --> 00:06:06,129
Why?

94
00:06:07,129 --> 00:06:08,610
Because you have eight.

95
00:06:10,350 --> 00:06:10,910
Develop it.

96
00:06:11,470 --> 00:06:14,790
The two, well, I'm going to do it to the fourth, okay?

97
00:06:14,870 --> 00:06:16,389
So I don't put a two and you don't get it wrong.

98
00:06:16,910 --> 00:06:18,110
I'm going to do it to the fourth.

99
00:06:19,410 --> 00:06:20,509
Develop the power.

100
00:06:20,509 --> 00:06:22,750
What is minus two?

101
00:06:28,120 --> 00:06:30,959
Of course, there is only one minus sign.

102
00:06:31,459 --> 00:06:34,500
It is the opposite of a positive base power.

103
00:06:36,300 --> 00:06:36,819
Do we understand it?

104
00:06:37,339 --> 00:06:41,000
For it to be a negative base power, how would it have to be?

105
00:06:41,480 --> 00:06:42,199
A parenthesis.

106
00:06:42,240 --> 00:06:42,560
Gulli.

107
00:06:42,939 --> 00:06:44,199
A parenthesis.

108
00:06:44,779 --> 00:06:45,100
Perfect.

109
00:06:45,100 --> 00:06:52,620
For it to be a negative base power, I would have to have minus 2 to the fourth.

110
00:06:52,920 --> 00:06:55,019
I would have to have a parenthesis outside.

111
00:06:55,019 --> 00:07:06,660
outside that took the sign with which I would have minus 2 by minus 2 by minus 2 by minus 2

112
00:07:08,540 --> 00:07:19,399
how many signs I have less 4 how many signs I have less above 1 we see the difference this is what

113
00:07:19,399 --> 00:07:26,839
normally you do not see or mali the one that gives me the same does not mean that it is the same 3 by 4

114
00:07:26,839 --> 00:07:34,600
me da lo mismo que 6 por 2? Vale, pero es lo mismo tener 3 grupos de 4 que tener 2 grupos de 6?

115
00:07:37,600 --> 00:07:44,860
Que mi resultado sea equivalente no significa que las dos cosas sean iguales. Son expresiones

116
00:07:44,860 --> 00:07:50,680
equivalentes, son expresiones que valen lo mismo, pero tengo cosas diferentes y eso es lo que tienes

117
00:07:50,680 --> 00:07:55,079
que aprender a ver en el lado de la izquierda hacia arriba yo lo que tengo

118
00:07:55,079 --> 00:08:00,939
es una el opuesto de una potencia de base negativa de una potencia de base

119
00:08:00,939 --> 00:08:05,500
positiva mientras que yo tengo aquí el menos dos a la cuarta es una potencia de

120
00:08:05,500 --> 00:08:13,750
base negativa vale mira para que te hagas una idea arriba

121
00:08:13,750 --> 00:08:20,490
por fa si esto es dos a la cuarta

122
00:08:20,490 --> 00:08:25,759
Esto es menos 2 a la cuarta.

123
00:08:26,879 --> 00:08:27,620
¿Te acuerdas?

124
00:08:30,800 --> 00:08:36,659
Y en este caso, el menos 2 a la cuarta, ¿dónde estaría?

125
00:08:36,779 --> 00:08:37,899
¿A la izquierda o a la derecha?

126
00:08:39,860 --> 00:08:42,019
Menos 2 a la cuarta.

127
00:08:42,759 --> 00:08:44,019
A la derecha.

128
00:08:44,879 --> 00:08:47,120
Menos 2 a la cuarta.

129
00:08:47,120 --> 00:08:49,399
Porque da positivo.

130
00:08:49,919 --> 00:08:52,519
Menos por menos por menos por menos da positivo.

131
00:08:52,519 --> 00:08:59,480
Fijaos como lo he dicho, y además es que se nota, escuchadlo, porque se notan las palabras en castellano

132
00:08:59,480 --> 00:09:04,639
Si yo digo aquí, digo menos dos a la cuarta

133
00:09:04,639 --> 00:09:11,620
Si yo digo esto, digo menos dos a la cuarta

134
00:09:11,620 --> 00:09:14,639
La pausa no está en el mismo sitio

135
00:09:14,639 --> 00:09:19,919
Así que yo no lo transcribo al lenguaje matemático de la misma manera

136
00:09:19,919 --> 00:09:29,759
minus 2 to the fourth is this on the left minus 2 to the fourth I have the opposite of 2 to the fourth

137
00:09:29,759 --> 00:09:37,120
while if I do minus 2 to the fourth it is minus 2 times minus 2 times minus 2 times minus 2 has been

138
00:09:37,120 --> 00:09:42,120
Is that clear? All of you? Ok, let's practice a little bit.

139
00:09:45,120 --> 00:09:47,120
If I had...

140
00:10:01,669 --> 00:10:04,669
Minus two to the fifth, how many minus signs do I have?

141
00:10:04,669 --> 00:10:06,669
One.

142
00:10:06,669 --> 00:10:11,350
1, 1, so is it a positive or negative power base?

143
00:10:11,470 --> 00:10:11,950
Positive.

144
00:10:12,149 --> 00:10:15,129
Positive, so it will always give positive even if it is raised to 5.

145
00:10:15,610 --> 00:10:18,730
It will always give positive, and with the minus in front, its opposite.

146
00:10:19,230 --> 00:10:24,309
So it will be minus 2, by 2, by 2, by 2, and by 2.

147
00:10:25,870 --> 00:10:32,710
And if I do minus 2 to the fifth, how many minus signs do I have?

148
00:10:32,850 --> 00:10:33,169
5.

149
00:10:33,169 --> 00:10:35,210
5, minus 2.

150
00:10:35,210 --> 00:10:51,610
2, this board sometimes, minus 2, by minus 2, by minus 2, by minus 2, by minus 2, 5 signs less.

151
00:10:52,610 --> 00:10:55,610
I'm going to put it in the numerical line so that you can see it clearer.

152
00:10:55,610 --> 00:11:04,929
Look, if this is my numerical line, here I have the 0, here I will have 2 to the 5th.

153
00:11:04,929 --> 00:11:07,750
¿Dónde estará menos 2 a la quinta?

154
00:11:08,409 --> 00:11:09,570
Al otro lado.

155
00:11:10,070 --> 00:11:16,049
Tendré 2 a la quinta con el menos delante, que es este.

156
00:11:16,450 --> 00:11:18,350
Entiendo cuando dicen es un 0 a la izquierda.

157
00:11:18,389 --> 00:11:18,610
¿Vale?

158
00:11:19,629 --> 00:11:26,509
Y ahora, si yo quisiera menos 2 a la quinta, en este caso, ¿cuántos signos menos tengo?

159
00:11:26,549 --> 00:11:27,110
Un momento, Gerson.

160
00:11:27,450 --> 00:11:28,509
¿Cuántos signos menos tengo?

161
00:11:28,769 --> 00:11:29,289
En menos.

162
00:11:29,850 --> 00:11:31,129
Aquí, en el segundo.

163
00:11:31,389 --> 00:11:31,809
5.

164
00:11:32,090 --> 00:11:33,250
Pues, ¿qué me va a dar el resultado?

165
00:11:33,470 --> 00:11:33,990
Positivo.

166
00:11:33,990 --> 00:11:35,990
positive or negative? positive

167
00:11:35,990 --> 00:11:37,990
minus by minus? plus

168
00:11:37,990 --> 00:11:39,990
by minus? minus

169
00:11:39,990 --> 00:11:41,990
by minus? plus

170
00:11:41,990 --> 00:11:43,990
so it will give me here

171
00:11:43,990 --> 00:11:45,990
but it depends on the exponent

172
00:11:45,990 --> 00:11:47,990
of course, if the exponents are even

173
00:11:47,990 --> 00:11:49,990
as I can group both of them

174
00:11:49,990 --> 00:11:51,990
and they are positive

175
00:11:51,990 --> 00:11:53,990
it will be positive

176
00:11:53,990 --> 00:11:55,990
if I group them in an odd way

177
00:11:55,990 --> 00:11:57,990
I will always get a loose minus

178
00:11:57,990 --> 00:11:59,990
so it will be negative

179
00:11:59,990 --> 00:12:01,990
but be careful

180
00:12:01,990 --> 00:12:09,990
The power is of a negative base, because if it is of a positive base, it always gives me a positive one.

181
00:12:09,990 --> 00:12:11,990
Is it clear?

182
00:12:11,990 --> 00:12:13,990
But how does the positive base work?

183
00:12:13,990 --> 00:12:19,990
No, no, no. I mean, if the power is of a positive base, like this one, the result is always positive.

184
00:12:19,990 --> 00:12:21,990
And if I add a minus, it will be negative.

185
00:12:21,990 --> 00:12:24,990
But because I have the opposite of a positive base power.

186
00:12:24,990 --> 00:12:29,990
A positive base power is always positive.

187
00:12:29,990 --> 00:12:41,990
If then I add a minus, the result will be negative, but the power of the positive base, 2x2x2x2x2, is always something positive, even if you multiply it 5 times, 4 or 3.

188
00:12:42,990 --> 00:12:43,990
Is it clear?

189
00:12:44,990 --> 00:12:56,990
Another thing is if the power is of negative base, because if the power is of negative base, depending on the number of times you multiply it, the result will be positive or negative, and then if I add another minus, it will change sign.

190
00:12:56,990 --> 00:13:01,549
sign. So what we are going to do is practice with this. I'm going to put

191
00:13:01,549 --> 00:13:06,710
expressions that have a minus number and you're going to tell me how many minuses there are

192
00:13:06,710 --> 00:13:11,230
to know later what the result is going to be. Has it been clear? Gerson, your

193
00:13:11,230 --> 00:13:13,730
question.

194
00:13:13,730 --> 00:13:20,730
Yes, it is. Let's see how it works.

195
00:13:20,730 --> 00:13:21,730
Easy.

196
00:13:21,730 --> 00:13:24,730
This is the parenthesis.

197
00:13:24,730 --> 00:13:25,730
This one, yes.

198
00:13:25,730 --> 00:13:29,730
It is to take the negative with 1 itself.

199
00:13:29,730 --> 00:13:51,289
Of course, because it's within the power, so this 5 here affects the 2, this 5 here is affecting the 2, that's why I have 5 2s, but it's also affecting the negative, that's why I have 5 minus.

200
00:13:53,129 --> 00:13:56,389
But the ones above, for example, don't have a minus.

201
00:13:56,389 --> 00:13:59,830
No, because it doesn't have a parenthesis, that's why I only have a minus sign.

202
00:13:59,830 --> 00:14:09,590
no menos. Eso es. ¿Lo has entendido? Vale, pues yo os voy a poner expresiones y me vais

203
00:14:09,590 --> 00:14:16,250
a decir, compienso, preparo y enseño, ¿cuántos signos menos hay? Depende de lo que digas.

204
00:14:16,450 --> 00:14:21,169
Claro, yo os coloco aquí un número y vosotros decís cuántos signos menos hay. Compienso,

205
00:14:21,169 --> 00:14:47,539
¿Pienso, preparo y enseño? ¿De acuerdo? ¿Pienso? ¿Pienso? ¿Preparo? ¿Enseño? 1, 0, 3, 2, 2, 2.

206
00:14:47,539 --> 00:14:49,480
Vamos a ver, vamos a desarrollarlo.

207
00:14:50,259 --> 00:14:51,340
Este menos está aquí.

208
00:14:51,860 --> 00:14:54,659
Este 2, ¿a quién afecta?

209
00:14:55,080 --> 00:14:56,860
Al menos 3.

210
00:14:57,860 --> 00:14:58,879
Al menos 3.

211
00:15:00,720 --> 00:15:03,639
Este 2 está encima de un paréntesis.

212
00:15:04,059 --> 00:15:07,320
Luego está afectando al 3 y está afectando al menos.

213
00:15:08,039 --> 00:15:11,279
Por tanto, lo que yo estoy repitiendo es menos 3.

214
00:15:16,659 --> 00:15:18,039
¿Cuántos signos menos hay?

215
00:15:18,700 --> 00:15:19,340
3.

216
00:15:19,340 --> 00:15:24,399
It's the opposite of a negative base power.

217
00:15:24,419 --> 00:15:26,580
But if you can't change it before doing the power?

218
00:15:27,759 --> 00:15:30,460
Okay, good question, because you do it a lot.

219
00:15:30,600 --> 00:15:31,679
This is the mistake you have.

220
00:15:32,100 --> 00:15:34,360
Could you multiply this by this first?

221
00:15:34,899 --> 00:15:35,100
Yes.

222
00:15:36,399 --> 00:15:37,200
Yes or no?

223
00:15:37,639 --> 00:15:38,340
I think...

224
00:15:39,840 --> 00:15:42,019
Like this, with the finger up, if yes,

225
00:15:42,120 --> 00:15:43,179
with the finger down, if no.

226
00:15:43,559 --> 00:15:47,100
Can I do that for that and put that it's more,

227
00:15:47,100 --> 00:15:48,379
and then 3 squared?

228
00:15:49,340 --> 00:15:54,340
I think, I prepare, I teach.

229
00:15:54,340 --> 00:15:55,340
I say yes.

230
00:15:55,340 --> 00:15:56,340
Yes, no.

231
00:15:56,340 --> 00:15:58,340
Gelson, why not?

232
00:15:58,340 --> 00:16:05,340
Because we only look more.

233
00:16:05,340 --> 00:16:08,909
Jenny, why not?

234
00:16:08,909 --> 00:16:13,909
Because in the hierarchy of operations the power is first.

235
00:16:13,909 --> 00:16:15,909
But 52...

236
00:16:15,909 --> 00:16:21,750
Of course, but if I do minus by minus, I'm doing a multiplication, and what do you have to do first?

237
00:16:22,970 --> 00:16:31,409
So the power goes first, first I have to raise to the square the minus 3, which would be 9, and with the minus in front, minus 9.

238
00:16:32,289 --> 00:16:36,370
Is it clear? So, why did Pablito get a 0?

239
00:16:37,690 --> 00:16:39,690
Why did he make a mistake with the hierarchy?

240
00:16:39,690 --> 00:16:51,690
What you have to see first is that you have to do the power of the sign first, before multiplying the sign.

241
00:16:51,690 --> 00:16:55,690
So you can't do the minus by the minus, what you have here in front.

242
00:16:55,690 --> 00:17:02,690
This cannot be done. What you have to do is first raise the minus two times.

243
00:17:02,690 --> 00:17:06,690
That's why you have two minus signs, plus the minus here, three.

244
00:17:06,690 --> 00:17:08,390
It's going to be negative

245
00:17:08,390 --> 00:17:09,549
Has it been clear?

246
00:17:10,269 --> 00:17:11,150
For everyone?

247
00:17:14,299 --> 00:17:15,400
I'm going to erase this

248
00:17:15,400 --> 00:17:19,740
That's right

249
00:17:19,740 --> 00:17:22,099
If it were raised to the cube it would be positive

250
00:17:22,099 --> 00:17:26,980
I don't know why it doesn't erase

251
00:17:26,980 --> 00:17:28,720
As before

252
00:17:28,720 --> 00:17:30,599
Well, I'm going to erase the board

253
00:17:30,599 --> 00:17:34,140
So, look

254
00:17:34,140 --> 00:17:37,019
We had put minus 3 squared

255
00:17:37,019 --> 00:17:38,400
And those are

256
00:17:38,400 --> 00:17:41,220
Minus 3 by minus 3

257
00:17:41,220 --> 00:17:50,240
So, in total, it will be three less signs. What will I get? Negative or positive? If they are three? Negative.

258
00:17:50,240 --> 00:17:58,079
Negative. And then the power of the numbers. First, but signs, then but numbers, and I leave it in the form of power.

259
00:17:58,079 --> 00:18:06,440
This is already a power, the opposite of a positive base power. We are going to do it with minus three to the cube, as Willy has said.

260
00:18:06,440 --> 00:18:10,599
Willy, lo pongo a la quinta, ¿vale?

261
00:18:12,920 --> 00:18:15,299
Para que sea más fácil.

262
00:18:16,480 --> 00:18:18,660
Para que no haya otro tres y no se equivoquéis.

263
00:18:19,079 --> 00:18:20,900
¿Cuántos signos menos tengo aquí?

264
00:18:21,180 --> 00:18:21,559
¿Pienso?

265
00:18:25,119 --> 00:18:25,619
¿Lo tenéis?

266
00:18:26,660 --> 00:18:27,220
¿Preparo?

267
00:18:27,839 --> 00:18:28,240
¿Ensaño?

268
00:18:29,819 --> 00:18:30,880
Muy bien, seis.

269
00:18:31,519 --> 00:18:33,460
Seis, seis, seis.

270
00:18:34,319 --> 00:18:35,140
Claro que hay seis.

271
00:18:35,140 --> 00:18:36,140
¿Cuántos signos menos?

272
00:18:36,140 --> 00:18:39,000
¿Cuántos signos menos tienes?

273
00:18:39,240 --> 00:18:41,079
Si dejas el móvil, a lo mejor te enteras.

274
00:18:41,460 --> 00:18:43,180
Mira, el menos, menos.

275
00:18:44,059 --> 00:18:47,059
Y ahora, menos tres, ¿cuántas veces?

276
00:18:47,779 --> 00:18:48,339
Cinco.

277
00:18:48,819 --> 00:18:49,259
Cinco.

278
00:18:50,880 --> 00:18:58,640
Así que, ¿cuántos signos menos tienes en total?

279
00:18:59,819 --> 00:19:00,500
Seis.

280
00:19:00,980 --> 00:19:03,480
El resultado que te va a dar, positivo o negativo.

281
00:19:05,019 --> 00:19:06,339
¿De qué potencia?

282
00:19:08,200 --> 00:19:09,519
¿Tres cuántas veces?

283
00:19:09,519 --> 00:19:15,319
Has it been clear?

284
00:19:15,579 --> 00:19:18,420
But I'm not doing it because I do less by less.

285
00:19:18,660 --> 00:19:24,660
I'm doing it because I do the minus five times first and then I do the opposite.

286
00:19:26,740 --> 00:19:27,900
Have we understood it?

287
00:19:28,960 --> 00:19:30,319
Have we understood it?

288
00:19:31,019 --> 00:19:31,940
All of us?

289
00:19:33,759 --> 00:19:36,200
Once you learn it, this is very easy.

290
00:19:40,769 --> 00:19:45,430
First you copy the negative and then you do the positive.

291
00:19:45,470 --> 00:19:47,150
Otra más.

292
00:19:50,279 --> 00:19:51,720
¿Y si yo tengo...?

293
00:20:07,359 --> 00:20:08,200
Vamos a ver.

294
00:20:09,299 --> 00:20:10,099
Tranquilos.

295
00:20:11,039 --> 00:20:14,079
Solo hay que ver primeros signos, luego números.

296
00:20:14,700 --> 00:20:17,619
¿Cuántos signos menos tengo en total?

297
00:20:17,859 --> 00:20:18,299
¿Pienso?

298
00:20:18,779 --> 00:20:19,619
En toda la ecuación.

299
00:20:19,740 --> 00:20:20,259
¿En todo?

300
00:20:21,039 --> 00:20:21,640
¿Pienso?

301
00:20:26,690 --> 00:20:27,490
¿Preparo?

302
00:20:29,089 --> 00:20:29,930
Enseño.

303
00:20:30,950 --> 00:20:31,430
¿Cuatro?

304
00:20:31,430 --> 00:20:31,910
¿Tres?

305
00:20:32,410 --> 00:20:32,869
¿Cuatro?

306
00:20:33,289 --> 00:20:35,809
Cuatro, cuatro, cinco, cuatro, cuatro.

307
00:20:35,869 --> 00:20:37,190
Ah, no, que no falta el de abajo.

308
00:20:37,450 --> 00:20:38,029
¿Cuántos hay?

309
00:20:38,309 --> 00:20:38,670
Cuatro.

310
00:20:38,849 --> 00:20:39,369
Cuatro.

311
00:20:40,009 --> 00:20:51,589
Fíjate, esto es, si lo desarrollo, arriba tendría un menos y luego menos tres por menos tres.

312
00:20:51,769 --> 00:20:54,390
Y abajo, menos y cinco.

313
00:20:54,390 --> 00:21:03,789
Así que, cuatro signos, menos por menos, más, y menos por menos, más, y menos por más, más.

314
00:21:04,009 --> 00:21:09,230
Así que el resultado me va a dar más, y arriba, ¿qué potencia me va a quedar?

315
00:21:09,390 --> 00:21:10,329
Tres, el de abajo.

316
00:21:11,430 --> 00:21:12,369
¿Y abajo?

317
00:21:13,130 --> 00:21:13,910
Cinco, el de abajo.

318
00:21:14,170 --> 00:21:14,609
Pues ya está.

319
00:21:15,789 --> 00:21:19,670
No fue tan difícil si yo sé cuántos signos menos tengo, ¿lo veis?

320
00:21:19,670 --> 00:21:24,670
I only have to know how many minus signs I have and then place the operation of the numbers.

321
00:21:24,670 --> 00:21:25,670
I don't understand.

322
00:21:25,670 --> 00:21:26,670
Okay.

323
00:21:26,670 --> 00:21:34,670
Why then, I mean, the first one is minus by minus and why then that result is not multiplied by the minus 3?

324
00:21:34,670 --> 00:21:35,670
And this minus here?

325
00:21:35,670 --> 00:21:37,670
It is multiplied by the minus by...

326
00:21:37,670 --> 00:21:40,670
Please, please, please, don't talk.

327
00:21:40,670 --> 00:21:41,670
And the minus here?

328
00:21:41,670 --> 00:21:44,670
No, yes, but you have done...

329
00:21:44,670 --> 00:21:46,670
Minus by minus?

330
00:21:46,670 --> 00:21:47,670
More.

331
00:21:47,670 --> 00:21:48,670
And by minus?

332
00:21:48,670 --> 00:21:49,670
Between minus.

333
00:21:49,670 --> 00:21:50,670
Between minus?

334
00:21:50,670 --> 00:21:51,670
Ah, okay.

335
00:21:51,670 --> 00:21:52,670
Ah, I got it.

336
00:21:52,670 --> 00:21:53,670
Okay.

337
00:21:53,670 --> 00:21:54,670
Okay.

338
00:21:54,670 --> 00:21:57,670
It's just that I have paired them by pairs, I don't care.

339
00:21:57,670 --> 00:21:59,670
You can pair them by pairs.

340
00:21:59,670 --> 00:22:04,670
Every time you work with two minus signs multiplied or divided, what does it give you?

341
00:22:04,670 --> 00:22:05,670
Minus by minus?

342
00:22:05,670 --> 00:22:06,670
More.

343
00:22:06,670 --> 00:22:07,670
And minus between minus?

344
00:22:07,670 --> 00:22:08,670
More.

345
00:22:08,670 --> 00:22:09,670
More.

346
00:22:09,670 --> 00:22:10,670
More.

347
00:22:10,670 --> 00:22:11,670
Okay?

348
00:22:11,670 --> 00:22:12,670
Is it clear?

349
00:22:12,670 --> 00:22:13,670
Yes.

350
00:22:13,670 --> 00:22:17,670
So I have plus 3 squared by 5.

351
00:22:17,670 --> 00:22:18,109
¿Dudas?

352
00:22:19,210 --> 00:22:20,410
Una más difícil.

353
00:22:20,710 --> 00:22:20,930
Venga.

354
00:22:23,309 --> 00:22:24,910
Pienso, preparo y enseño.

355
00:22:25,089 --> 00:22:25,369
A ver.

356
00:22:38,470 --> 00:22:40,450
¿Cuántos signos menos tengo?

357
00:22:41,470 --> 00:22:43,829
¿Y cómo te lo hacemos si son más de 10 manos?

358
00:22:44,190 --> 00:22:44,670
¿Qué te oyes?

359
00:22:45,490 --> 00:22:47,890
Si con los pies.

360
00:22:48,289 --> 00:22:48,630
Eso.

361
00:22:50,730 --> 00:22:52,730
Este hombre merece la casa y todo.

362
00:22:53,250 --> 00:22:54,690
No nos he traído hoy.

363
00:22:55,029 --> 00:22:56,829
¿Cuántos signos menos tengo?

364
00:22:57,029 --> 00:22:57,490
¿Pienso?

365
00:22:57,490 --> 00:23:15,390
¿Pienso? ¿Pienso? No necesitas pies. Te lo digo yo ya. ¿Pienso? ¿Preparo? ¿Enseño? Muy bien, 10. Sí, señor.

366
00:23:15,710 --> 00:23:21,430
Así que el resultado, fíjate, que me da igual cómo lo haga. ¿El resultado qué va a ser? ¿Positivo o negativo?

367
00:23:21,430 --> 00:23:41,509
With 10 less signs. Positive. Positive. And now, what's going to stay above me? 3 to the 5th. 3 to the 5th. For 5. For 5. Divided. Divided. For 2. To the cube.

368
00:23:41,509 --> 00:23:44,210
I don't know why this

369
00:23:44,210 --> 00:23:51,019
Has it been clear?

370
00:23:52,119 --> 00:23:54,299
If I know how many signs

371
00:23:54,299 --> 00:23:56,559
Guys, if I know how to count

372
00:23:56,559 --> 00:23:59,039
Mari, if I know how many signs I have

373
00:23:59,039 --> 00:23:59,940
The rest doesn't matter to me

374
00:23:59,940 --> 00:24:01,299
Because it will always give me positive

375
00:24:01,299 --> 00:24:02,819
Has it been clear?

376
00:24:03,160 --> 00:24:04,420
So I'm always going to put it

377
00:24:04,420 --> 00:24:06,240
As a positive base power

378
00:24:06,240 --> 00:24:08,720
Or as the opposite of a positive base power

379
00:24:08,720 --> 00:24:11,019
I operate the signs and leave the powers

380
00:24:11,019 --> 00:24:12,779
Has it been clear?

381
00:24:13,279 --> 00:24:14,099
One more

382
00:24:14,099 --> 00:24:17,740
¿Te está gustando?

383
00:24:17,960 --> 00:24:18,140
No

384
00:24:18,140 --> 00:24:19,319
Pues entonces

385
00:24:19,319 --> 00:24:35,740
¿Vemos la marca?

386
00:24:37,119 --> 00:24:37,359
¿Eh?

387
00:24:40,960 --> 00:24:41,799
Vale

388
00:24:41,799 --> 00:24:43,920
¿Cuántos signos menos tengo?

389
00:24:45,019 --> 00:24:46,039
Santo Madre de Dios

390
00:24:46,039 --> 00:24:48,019
¿No hay mano?

391
00:24:48,980 --> 00:24:49,559
Sí, sí hay

392
00:24:49,559 --> 00:24:51,240
¿Pienso?

393
00:24:54,500 --> 00:24:55,299
¿Preparo?

394
00:24:56,900 --> 00:25:06,119
I teach 9999999 very well so I'm going to stay positive negative negative

395
00:25:06,119 --> 00:25:10,539
less and now that I'm going to stay in the fraction

396
00:25:11,180 --> 00:25:18,579
2 to the cube by 2 to the cube by

397
00:25:18,579 --> 00:25:21,740
3 to the 6th, between?

398
00:25:25,079 --> 00:25:27,220
It's changing color, I don't know why.

399
00:25:27,559 --> 00:25:28,859
And what can I do?

400
00:25:31,700 --> 00:25:32,579
Silence, please.

401
00:25:32,980 --> 00:25:34,200
What can I do here?

402
00:25:38,279 --> 00:25:40,619
Add the 2 with the 2 to the 1.

403
00:25:40,640 --> 00:25:43,099
This is a fraction, I have the same...

404
00:25:43,099 --> 00:25:46,299
Valeria, what can you do? What have you told me?

405
00:25:46,599 --> 00:25:46,960
Tachar.

406
00:25:48,019 --> 00:25:50,079
Not tachar, divide between what number?

407
00:25:50,079 --> 00:25:51,480
Up and down between?

408
00:25:51,640 --> 00:25:52,759
3 raised to 6.

409
00:25:53,220 --> 00:25:59,000
3 raised to 6, and then I would have 2 cubed by 2 cubed, and between 3 raised to 6, and what do I have left?

410
00:25:59,259 --> 00:25:59,700
64.

411
00:26:00,599 --> 00:26:01,539
What do I have left down?

412
00:26:01,740 --> 00:26:02,180
64.

413
00:26:03,440 --> 00:26:05,779
Aaron, I don't want the result. What do I have left down?

414
00:26:05,940 --> 00:26:07,440
2 cubed by 2 cubed.

415
00:26:09,420 --> 00:26:10,220
And the minus?

416
00:26:11,180 --> 00:26:13,259
Minus 2 cubed by 2 cubed.

417
00:26:13,400 --> 00:26:13,900
And down?

418
00:26:14,660 --> 00:26:15,099
Nothing.

419
00:26:15,779 --> 00:26:16,299
It's not true?

420
00:26:16,400 --> 00:26:16,740
Just 1.

421
00:26:16,740 --> 00:26:20,759
Ah, if I divide 3 to the sixth, between 3 to the sixth, what does it give?

422
00:26:21,240 --> 00:26:21,799
1.

423
00:26:22,180 --> 00:26:22,539
1.

424
00:26:25,619 --> 00:26:33,039
So it will be minus, and above I will have 2 times 2 times 2 times 2 times 2 times 2.

425
00:26:33,140 --> 00:26:33,900
How much does it give me?

426
00:26:34,039 --> 00:26:34,400
Minus.

427
00:26:35,119 --> 00:26:37,180
Minus, in the form of power.

428
00:26:39,240 --> 00:26:40,380
2 to the sixth.

429
00:26:40,480 --> 00:26:41,200
2 to the sixth.

430
00:26:42,380 --> 00:26:45,170
Is it clear?

431
00:26:46,349 --> 00:26:47,170
Any questions?

432
00:26:47,670 --> 00:26:47,890
No.

433
00:26:48,430 --> 00:26:48,750
No one?

434
00:26:49,549 --> 00:26:50,109
Okay.

435
00:26:50,450 --> 00:26:53,829
I'm going to stop recording now, okay?