Simplify fourth root of x^11

$\sqrt[4]{x^{11}}$

Step 1

Rewrite $x^{11}$ as ${(x^{2})}^{4} x^{3}$ .

Factor out $x^{8}$ .

$\sqrt[4]{x^{8} x^{3}}$

Rewrite $x^{8}$ as ${(x^{2})}^{4}$ .

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

Step 2

Pull terms out from under the radical.

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