Simplify fourth root of x^13

$\sqrt[4]{x^{13}}$

Step 1

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

Factor out $x^{12}$ .

$\sqrt[4]{x^{12} x}$

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

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

Step 2

Pull terms out from under the radical.

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