Simplify fourth root of x^15

$\sqrt[4]{x^{15}}$

Step 1

Rewrite $x^{15}$ as ${(x^{3})}^{4} x^{3}$ .

Factor out $x^{12}$ .

$\sqrt[4]{x^{12} x^{3}}$

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

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

Step 2

Pull terms out from under the radical.

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