Question

Simplify
$\sqrt[4]{ \sqrt[3]{ {x}^{2} } }$
and express the result in the exponential form of x ​

Answer 1

Answer: x^⅙

Step-by-step explanation:

We know that

$\sqrt[3]{x} = x {}^{ \frac{1}{3} }$

and

$\sqrt[4]{x} = {x}^{ \frac{1}{4} }$

so

$\sqrt[4]{ \sqrt[3]{{x}^{2} } }$

=>is x^²×⅓×¼

=>so ²×⅓=⅔ and

=>⅔×¼=⅙

=> therefore the answer is x^⅙

Hope you got your answer.