1) Simplifique,observando as propriedades de potencia:

A) (5³. 54)2 = (57)2 = 514 = 512
5² 52 52

B) 7³ .7 - 2. 7¹ = 7² = 7¹
7 4.7 – 3 7¹
C) ( a 6 : a2)3 = ( a4)3 = a12 = a3
a5 . a4 a9 a9
D) a8². (a8)2 = a64 . a16 = a80 = a60
(a5)2 . (a2)5 a10 . a10 a20
E) (b6)2 : (b2)6 = b12 : b12 = b0 = b - 2
b 4 . b – 2 b 2 b2
F) C-2 . C4. C -2 = C0 = C1
C5 . C -6 C - 1
G) (105 . ( 10 -2)3 . 102 = (103)3 . 102 = 109 . 102 = 1011 = 10- 5
10² . (104 . 103)2 102 (107)2 102 . 1014 1016

H) 2 . 23.210 = 214 = 2 - 22
(26 . 23)4 236
I) 88 . 83² . (83)2 = 88 . 89 . 86 = 823 = 826
8-4 : 8-1 8-3 8-3
J) (57)2 : 514 = 514 :514 = 50 = 50
(52)7 : (57)2 514: 514 50

K) (67 . 62)3 : (64)2 . 63 = (69)3 : 68.63 = 627 : 611 = 63: 60 = 6-3
(64)3 .(63)4 62.64.65 612 . 612 611 624 611

L) (102 .104 . 10-1)3 . 102³ : 10-3 = (105)3 . 108 : 102 = 1015.108 : 102 = 1023 :102 =
(104)2 : (105)2 10-5 108 : 1010 10-2 10-2

1025 :102=1023