Question

Racionalize a fração:

Answer 1

$\frac{6}{ \sqrt[10]{3^3} } * ( \frac{ \sqrt[10]{3^7} }{ \sqrt[10]{3^7}}) = \frac{6\,* \sqrt[10]{3^7} }{ \sqrt[10]{3^3*3^7} } = \frac{6\,* \sqrt[10]{3^7} }{ \sqrt[10]{3^{10}} } = \frac{6* \sqrt[10]{3^7} }{3} = 2* \sqrt[10]{3^7}$

Answer 2

$\frac{6}{\sqrt[10]{3^3}}$ = $\frac{6}{3^{\frac{3}{10}}}$ = $\frac{3\cdot 2}{3^{\frac{3}{10}}}$  = $3\cdot 3^{\frac{-3}{10}}\cdot 2$ = $2\cdot \:3^{\frac{7}{10}}$