Question

Use as propriedades da potenciação:

Answer 1

Resposta:

a)(-5)⁰

b)6²

c)10‐⁵

d)3‐⁸

e)(4‐¹²×6‐¹²)/16‐³

Answer 2

A)
(-5)^(-2).(-5)^2
(-5)^(-2+2)
= (-5)°
= 1
___________
B)
6^(-3):6^(-5)
6^[-3-(-5)]
6^[-3+5]
= 6^2
__________
C)
10^5 : 5^10

(2.5)^5 / 5^10
= 2^5 . 5^5 / 5^10
= 2^5 / 5^5
= (2/5)^5
___________

D)
[3^7 : (3^2 .3)^3]^(-2)
= [3^7 : (3^3)^3]^(-2)
= [3^7 : 3^9]^(-2)
= [3^(-2)]^(-2)
= 3^4
___________
E)
[4^4 . 6^4/16]^(-3)

= [4^4 / 4^2 . 6^4]^(-3)
= [4^2 . (2.3)^4]^(-3)
= [2^4 . 2^4 . 3^4]^(-3)
= [2^8 . 3^4]^(-3)
= 2^(-24).3^(-12)
= 2^(-12).2^(-12).3^(-12)
= [2.2.3]^(-12)
= 12^(-12)