Simplify the Radical Expression sixth root of y^4

$\sqrt[6]{y^{4}}$

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

$\sqrt[6]{{(y^{2})}^{2}}$

Rewrite $\sqrt[6]{{(y^{2})}^{2}}$ as $\sqrt[3]{\sqrt{{(y^{2})}^{2}}}$ .

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

Pull terms out from under the radical.

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

Remove non-negative terms from the absolute value.

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