Question

o valor da expressão 3^6x-1 dividido 9^3x-2 é:

Answer 1

EAE MANOO,

use as propriedades da exponenciação..

$\Large\boxed{a^{m+n}~\to~a^m\cdot a^n}\\\\\boxed{(a^m)^n~\to~a^{m\cdot m}} \\\\\\ \dfrac{3^{6x-1}}{9^{3x-2}}= \dfrac{3^{6x}\cdot3^{-1}}{(3^2)^{(3x-2)}}= \dfrac{3^{6x}\cdot3^{-1}} {3^{6x-4}}= \dfrac{\not3^{6x}\cdot3^{-1}}{\not3^{6x}\cdot3^{-4}}= \dfrac{3^{-1}}{3^{-4}}=3^{-1}\cdot3^{4}\\\\\\ ~\to~ \huge\boxed{\boxed{\dfrac{3^{6x-1}}{9^{3x-2}}=3^3=27}}$

Tenha ótimos estudos ;D