Ejercicios resueltos potencias
3
EJEMPLOS RESUELTOS 3 3 · 3 4 · 3 = 3 8 5 7 : 5 3 = 5 4 (5 3 ) 4 = 5 12 (5 · 2 · 3) 4 = 30 4 (3 4 ) 4 = 3 16 [(5 3 ) 4 ] 2 = (5 12 ) 2 = 5 24 (8 2 ) 3 =[( 2 3 ) 2 ] 3 = (2 6 ) 3 = 2 18 (9 3 ) 2 = [(3 2 ) 3 ] 2 = (3 6 ) 2 = 3 12 2 5 · 2 4 · 2 = 2 10 2 7 : 2 6 = 2 (2 2 ) 4 = 2 8 (4 · 2 · 3) 4 = 24 4 (2 5 ) 4 = 2 20 [(2 3 ) 4 ] 0 = (2 12 ) 0 = 2 0 = 1 (27 2 ) 5 =[(3 3 ) 2 ] 5 = (3 6 ) 5 = 3 30 (4 3 ) 2 = [(2 2 ) 3 ] 2 = (2 6 ) 2 = 2 12 (−2) 2 · (−2) 3 · (−2) 4 = (−2) 9 = −512 (−2) −2 · (−2) 3 · (−2) 4 = (−2) 5 = −32 2 −2 · 2 −3 · 2 4 = 2 −1 = 1/2 2 2 : 2 3 = 2 −1 = 1/2 2 −2 : 2 3 = 2 −5 = (1/2) 5 = 1/32 2 2 : 2 −3 = 2 5 = 32 2 −2 : 2 −3 = 2
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Ejercicios resueltos potencias. Una vez que sepamos las propiedas que podemos aplicar a las operaciones con potencias, estamos listos para resolverlos. ;)
Transcript of Ejercicios resueltos potencias
EJEMPLOS RESUELTOS
33 · 3
4 · 3 = 3
8
57 : 5
3 = 5
4
(53)4 = 5
12
(5 · 2 · 3) 4 = 30
4
(34)4 = 3
16
[(53)4]2 = (5
12)2 = 5
24
(82)3 =[( 2
3)2]3
= (26)3 = 2
18
(93)2 = [(3
2)3]2 = (3
6)2 = 3
12
25 · 2
4 · 2 = 2
10
27 : 2
6 = 2
(22)4 = 2
8
(4 · 2 · 3)4 = 24
4
(25)4 = 2
20
[(23
)4]0 = (2
12)0 = 2
0 = 1
(272)5 =[(3
3)2]5
= (36)5 = 3
30
(43)2
= [(22)3]
2 = (2
6)2 = 2
12
(−2)2 · (−2)
3 · (−2)
4 = (−2)
9 = −512
(−2)−2
· (−2)3 · (−2)
4 = (−2)
5 = −32
2−2
· 2−3
· 24 = 2
−1 = 1/2
22 : 2
3 = 2
−1 = 1/2
2−2
: 23 = 2
−5 = (1/2)
5 = 1/32
22 : 2
−3 = 2
5 = 32
2−2
: 2−3
= 2
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