Question

(3^ 6 .3^ -2 ):3^ 4
qual o resultado ?​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Propriedades\,das\,pot\hat encias}\\\sf a^m\cdot a^n=a^{m+n}\\\\\sf \dfrac{a^m}{a^n}=a^{m-n}\\\\\sf (a^m)^n=a^{m\cdot n}\\\\\sf (a\cdot b)^m=a^m\cdot b^m\\\\\sf \bigg(\dfrac{a}{b}\bigg)^m=\dfrac{a^m}{b^m}\end{array}}$

$\boxed{\begin{array}{l}\sf\dfrac{3^6\cdot 3^{-2}}{3^4}=\dfrac{3^{6+(-2)}}{3^4}\\\\\sf \dfrac{3^{6-2}}{3^4}=\dfrac{3^4}{3^4}=\bigg(\dfrac{3}{3}\bigg)^4=1^4=1\end{array}}$