Question

$\sqrt[4]{16}$×=$\frac{1}{ \sqrt{8} }$ qual a resposta?

Answer 1

$\sqrt[4]{ 16^{x} } =1/ \sqrt{8}$

$16^{x/4} =1/ \sqrt{ 2^{3} }$

$16^{x/4} =1/ 2^{3/2}$

$(2^{4} )^{x/4} = 2^{-3/2}$

$2^{4x/4}= 2^{-3/2}$

$2^{x} = 2^{-3/2}$

x=-3/2