Taller Potencias
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7/25/2019 Taller Potencias
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Liceo Ren DescartesVista Hermosa 19, C CastilloFono: 2663050 -
Fa: 262!9!"#ro$% Carolina &r'enes (as)e*Vi+a 'el ar
1 ( ) = 243 kk
. 9k
( 10k
C 11k
D 14k
/ 24k
2 /l cuociente entre 2 3- esei4alente a:
. 1+xp
( nxp
C xpx
D 1+px/ 33 xp
3 ( ) =+
+
12
0
21
8
73 xx
. 2( 2C 1D 2/ 2 2
" i 7 3105 , entonces 2 7. 6105 ( 61025
C 31010 D 1105 / 61025
5 8C)l es el 4alor 'e
( ) ( )000
0
00035
4
123354 ++
. "( 1
C -2D / 0
6 8C)l es el 4alor nmrico 'e3
3
1
. 1;2( 2C -1;2D -2/
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7/25/2019 Taller Potencias
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.12
10
(27
16
C81
32
D27
32
/81
32
12 8C)l 'e las si=ientes eresiones es
ei4alente a4
3
n
n
. 43
n
( 12nC 1n
D 43
n
/ 7n
13 /l trile 'e aa 30 + est) reresenta'o or. a9( a12C a33+D a31+/
( )a313 +
1" i t 7 5, 8C)l?es 'e las si=ienteseresiones reresenta?n n
n@mero real
A ( ) 13 t AA ( ) 21
3 t AAA ( ) 3
1
3 t
. Blo A( Blo A AAC Blo A AAAD Blo AA AAA/ A, AA AAA
16 =
11
11
32
32
. -1( 0
C3
1
D2
1
/ 1
1 =
10
1
0902,0
02,9
029,0
29,023
. 1( 10C 100
D 1000/ 0,1
1! i 2=a , entonces =a
aa
a
aa
.16
15
(1612
C 0
D16
1
/16
17
19 La tercera otencia 'e m2 es:. 98m
( m8C m2D m8/ 38m
20 =3
3
a
aan
. na
( 1na
C 3+na
D 6+na
/ 33 +na
21 8C)l es el 4alor 'e( ) ( ) 232 :1 xxxx ++ si 3=x
. -15( -9C 1D
/ 33
22 =
11
4
1:
2
1
. 5( 2C 0,2D 0,5/ 0,125
23 i 41
=p , entonces al e4alar1
1 1
+p
p se otiene
. 0
(4
1
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7/25/2019 Taller Potencias
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C4
9
D4
15
/4
7
2" ( ) ( )( )
=
33
23
35,125,02
. 0,25( 0,5C "D -16/ 1
25 ( )[ ] ( )[ ] = 475,05,023 5,02
. -1( 1C 2D 3/ 5
26 i 2=x , entonces el 4alor 'e3223
16435 ++ xxxx es:
. 60( 106
C -53D !1/ 2
2( ) ( )
( ) =
32
239
104,0
825,01
. 100( -160C -105D 153
/ ( ) 3
25,0
2! Determina el 4alor 'e la eresiBn
0
2
2 1k
kk
x
x +
+
, si 5=k
. 152 2 + x
( xx 22 52 C ( ) 125 2 +x
D 552 2 + x
/
