Simplify the Radical Expression cube root of fourth root of y^11

$\sqrt[3]{\sqrt[4]{y^{11}}}$

Step 1

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

Factor out $y^{8}$ .

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

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

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

Step 2

Pull terms out from under the radical.

$\sqrt[3]{| y^{2} | \sqrt[4]{y^{3}}}$

Step 3

Remove non-negative terms from the absolute value.

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