## Precalculus: Mathematics for Calculus, 7th Edition

$a)$ $x^{2}y^{2}$ $b)$ $xy^{2}$
$a)$ $\sqrt[3]{(x^{3}y)^{2}y^{4}}$ Evaluate the power inside the root: $\sqrt[3]{(x^{3}y)^{2}y^{4}}=\sqrt[3]{(x^{6}y^{2})y^{4}}=...$ Evaluate the product inside the root: $...=\sqrt[3]{x^{6}y^{2+4}}=\sqrt[3]{x^{6}y^{6}}=...$ Evaluate the root: $...=x^{2}y^{2}$ $b)$ $\sqrt{x^{2}y^{4}}$ Evaluate the square root: $\sqrt{x^{2}y^{4}}=xy^{2}$