## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$xy^2z^{3}\sqrt[3]{x^2z}$
Extracting the factors that are perfect roots of the given index, the given expression, $\sqrt[3]{x^5y^6z^{10}} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{x^3y^6z^{9}\cdot x^2z} \\\\= \sqrt[3]{(xy^2z^{3})^3\cdot x^2z} \\\\= xy^2z^{3}\sqrt[3]{x^2z} \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.