Question

√¯1/2 : ^5√¯1/2 =

alguém sabe o resultado dessa conta

Answer 1

$\dfrac{\sqrt{\frac{1}{2}}}{\sqrt[5]{\frac{1}{2}}}=\dfrac{(\frac{1}{2})^{\frac{1}{2}}}{(\frac{1}{2})^{\frac{1}{5}}}=\left(\dfrac{1}{2}\right)^{\frac{1}{2}-\frac{1}{5}}=\left(\dfrac{1}{2}\right)^{\frac{3}{10}}=2^{-\frac{3}{10}}$

Answer 2

$\frac{ \sqrt{\frac{1}{2}} }{ \sqrt[5]{\frac{1}{2}} }= \\ \\ \frac{\left(\frac{1}{2}\right)^{\frac{1}{2}}}{\left(\frac{1}{2}\right)^{\frac{1}{5}}} = \\ \\ \left(\frac{1}{2}\right)^{\frac{1}{2}-\frac{1}{5}}= \\ \\ \boxed{\left(\frac{1}{2}\right)^{\frac{3}{10}}= \sqrt[10]{\left(\frac{1}{2}\right)^3}= \sqrt[10]{\frac{1}{8}} }$