Respostas
Resposta:
Explicação passo a passo:
1)
A)
2^7 . 2^5 = 2^(7+5) = 2^12
B)
(0,5)^7 . (0,5)^3 = (0,5)^(7+3)
= (0,5)^10
C)
= 7^9 / 7^3 = 7^(9-3)= 7^6
D)
(1/2)^(-6) / (1/2)^2 = (1/2)^(-6+2)
= (1/2)^(-4)
= (2)^4
E)
(4^5)^3 = 4^(5.3)= 4^15
F)
[2^(-3)]^4 = 2^(-12) = (1/2)^12
2)
A)
= 2^9 . 4^3
= 2^9 . (2^2)^3
= 2^9 . 2^6
= 2^15
= 32768
____________
B)
= 3^15 / 9^2
= 3^15 / (3^2)^2
= 3^15 / 3^4
= 3^11
= 177147
__________
C)
= [2^(-4)]^(-4)
= 2^16
= 65536
D)
= [(-5)^3]^(-6)
= (-5)^(-18)
= (-1/5)^18
= (0,2)^18
= (0,2).(0,2).(0,2)
= 0,008 .0,008 .0,008 .0,008 .0,008 .0,008
= 8.10^(-3).8.10^(-3).8.10^(-3).8.10^(-3). 8.10^(-3) . 8.10^(-3)
= (2^3)^6 . 10^(-18)
= 262144 . 10^(-18)
= 0,262144.10^6 . 10^(-18)
= 0,262144. 10^(-12)
= 0,000000000000262144
_____________
3)
A) (-2)^4 = 16
B)
- 3^2 = - 9
E) (-2)^10 = 1024
D)
(3/8)^(-2) = (8/3)^2 = 64/9
F) 4^(-2)= (1/4)^2 = 1/16
G)
(-2)^(-4)= (-1/2)^4 = 1/16
I)
2^(-7).2^5 = 2^(-2) = (1/2)^2
= 1/4
H) 16^(1/2) = \/16 = 4
4)
A) \/256
= 16
_________
B)\/25 . \/4 = 5.2
= 10
________
C)
3
\/8 = 2
_________
D)
4
\/16 = 2
____________
E)
= \/8 . \/32
= \/2.\/4.\/2.\/16
= 2.2.4
= 4.4
= 16
_________
F)
6
\/729
6
\/3^6
= 3