Question

oiiee, alguém me ajuda nessa por favor?​

Answer 1

Explicação passo-a-passo:

$\sf y=\dfrac{4^{10}\cdot16^{-2}\cdot8^{-3}}{32}$

$\sf y=\dfrac{(2^2)^{10}\cdot(2^4)^{-2}\cdot(2^3)^{-3}}{2^5}$

$\sf y=\dfrac{2^{20}\cdot2^{-8}\cdot2^{-9}}{2^5}$

$\sf y=\dfrac{2^{20+(-8)+(-9)}}{2^5}$

$\sf y=\dfrac{2^{20-8-9}}{2^5}$

$\sf y=\dfrac{2^{3}}{2^5}$

$\sf y=2^{3-5}$

$\sf y=2^{-2}$

A metade de $\sf y$ é:

$\sf \dfrac{y}{2}=\dfrac{2^{-2}}{2}$

$\sf \dfrac{y}{2}=2^{-2-1}$

$\boxed{\red{\sf \dfrac{y}{2}=2^{-3}}}$

Letra A