Question

1) Qual é o número correspondente a expressão:
(1/7)2 : (1/7)5. (1/7): (1/7)-8 =
a) (1/7)-6
b) (1/7)6
d) (1/7)11
C) 1/7
e) (1/7)

Answer 1

Resposta:

Letra b)   $\dfrac{1}{7^6}$

Explicação passo-a-passo:

$\dfrac{(\dfrac{1}{7})^2 }{(\dfrac{1}{7})^5} ~. ~ \dfrac{(\dfrac{1}{7})}{(\dfrac{1}{7})^{-8}}\\ \\ \\ \\(\dfrac{1}{7})^2 . (\dfrac{7}{1})^5 ~. ~\dfrac{(\dfrac{1}{7})}{(\dfrac{7}{1})^{8}}\\ \\ \\ \dfrac{7^5}{7^2} ~. ~\dfrac{1}{7} . 7^8\\ \\ \\ 7^{5-2} ~. ~ 7^{8 + 1)}\\ \\ \\ \dfrac{7^3}{7^9} \\ \\ \\ => \dfrac{1}{7^6}$