Question

A simplificação da expressão √√2⁷ₓ2⁻¹÷2², leva ao valor?

Answer 1

$\begin{array}{l}\mathsf{\dfrac{\sqrt{\sqrt{2^7\cdot2^{-1}}}}{2^2}~\Leftrightarrow~\dfrac{\sqrt{\sqrt{2^{6}}}}{2^2}~\Leftrightarrow~\dfrac{ \sqrt{(2^6)^{\frac{1}{2}}}}{2^2}~\Leftrightarrow~\dfrac{\sqrt{2^{\frac{6}{2}}}}{2^2}~\Leftrightarrow~\dfrac{(2^{\frac{6}{2}})^{\frac{1}{2}}}{2^2}}\\\\\\\mathsf{\dfrac{2^{\frac{6}{4}}}{2^2}~\Leftrightarrow~\dfrac{2^{ \frac{3}{2} }}{4}~\Leftrightarrow~\dfrac{\sqrt{2^2\cdot 2}}{4}~\Leftrightarrow~ \dfrac{2\sqrt{2}}{4}~\Leftrightarrow~\dfrac{\sqrt{2}}{2}}\end{array}$

Answer 2

resposta esta certa corrigida no ava