Simplify sixth root of x^4

$\sqrt[6]{x^{4}}$

Step 1

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

$\sqrt[6]{{(x^{2})}^{2}}$

Step 2

Rewrite $\sqrt[6]{{(x^{2})}^{2}}$ as $\sqrt[3]{\sqrt{{(x^{2})}^{2}}}$ .

$\sqrt[3]{\sqrt{{(x^{2})}^{2}}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

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