Simplify cube root of x^13

$\sqrt[3]{x^{13}}$

Step 1

Rewrite $x^{13}$ as ${(x^{4})}^{3} x$ .

Factor out $x^{12}$ .

$\sqrt[3]{x^{12} x}$

Rewrite $x^{12}$ as ${(x^{4})}^{3}$ .

$\sqrt[3]{{(x^{4})}^{3} x}$

Step 2

Pull terms out from under the radical.

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