Question

Rewrite the expression in the form x^n

Answer 1

`\sqrt[3]{x}`

Explanation:

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

I hope I helped you^_^