Question

Rewrite the expression in the form x^n

Answer 1

Answer:

$\sqrt[3]{x}$

Step-by-step explanation:

$\sqrt[4]{ \frac{ {x}^{2} }{x ^{ \frac{2}{3} } } } = \frac{ \sqrt[4]{ {x}^{2} } }{ \sqrt[4]{ \sqrt[3]{ {x}^{2} } } } = \frac{x ^{ \frac{2}{4} } }{(x ^{ \frac{2}{3} } ) ^{ \frac{1}{4} } } \\ \\ = \frac{ {x}^{ \frac{1}{2} } }{ {x}^{ \frac{2}{12} } } = \frac{ {x}^{ \frac{1}{2} } }{ {x}^{ \frac{1}{6} } } = {x}^{ \frac{1}{2} - \frac{1}{6} } = {x}^{ \frac{1}{3} } = \sqrt[3]{x}$

I hope I helped you^_^