Question

calcule o valor das expressões numéricas
A) 3^5 . 3^5 : 3^5
B) 10^6 . 10 sobre 10^4 . 10^3
C) (7^6 . 7^-7)^2
D) (6^3)^2 : (3^2)^2

Answer 1

$a) \frac{3^{5}.3^{5}}{3^{5}} = \frac{3^{10}}{3^{5}} = 3^{10-5}=3^{5}=243 \\ \\ b) \frac{10^{6}.10}{10^{4}.10^{3}}} = \frac{10^{7}}{10^{7}} = 10^{7-7}=10^0} = 1 \\ \\ c) (7^{6}.7^{-7})^{2}= (7^{-1})^{2}=7^{-2}= \frac{1}{7^{2}}= \frac{1}{49} \\ \\ d) \frac{(6^{3})^{2}}{(3^{2})^{2}}= ( \frac{6^{3}}{3^{2}})^{2}= (\frac{216}{9})^{2}= 24^{2}=576$

Espero ter ajudado.