Question

simplifique:2 elevado a -6 dividido por 2 elevado a 4 sobre ou dividido por (2 elevado a -3) elevado a 4
A)2
B)6
C)4
D)36

Answer 1

EAE mano,

$\dfrac{ \left(\dfrac{2^{-6}}{2^4}\right)}{(2^{-3})^4}= \dfrac{(2^{-6})\cdot(2^{-4})}{2^{(-3)\cdot4}}\\\\ \Rightarrow\dfrac{ \left(\dfrac{2^{-6}}{2^4}\right)}{(2^{-3})^4} = \dfrac{2^{-6-4}}{2^{-12}}\\\\ \Rightarrow \dfrac{ \left(\dfrac{2^{-6}}{2^4}\right)}{(2^{-3})^4}= \dfrac{2^{-10}}{2^{-12}}\\\\ \Rightarrow \dfrac{ \left(\dfrac{2^{-6}}{2^4}\right)}{(2^{-3})^4} =2^{-10}\cdot2^{12}\\\\ \Rightarrow \dfrac{ \left(\dfrac{2^{-6}}{2^4}\right)}{(2^{-3})^4} =2^{-10+12}$

$\Rightarrow \dfrac{ \left(\dfrac{2^{-6}}{2^4}\right)}{(2^{-3})^4} =2^2\\\\ \Rightarrow \Large\boxed{\dfrac{ \left(\dfrac{2^{-6}}{2^4}\right)}{(2^{-3})^4} =4}$

E portanto alternativa C

Tenha ótimos estudos ;D