Question

Qual a conta de √7 ÷ ⁵√7

Answer 1

$\sqrt{7} \div \sqrt[5]{7} \\ \\ \frac{ \sqrt{7} }{ \sqrt[5]{7} } = \frac{7 {}^{ \frac{1}{2} } }{7 {}^{ \frac{1}{5} } } \\ \\ 7 {}^{ \frac{1}{2} - \frac{1}{5} } = 7 {}^{ \frac{5 - 2}{10} } = 7 {}^{ \frac{3}{10} } \\ \\ \sqrt[10]{7 {}^{3} } = \sqrt[10]{343}$