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

$y^{8}$
$\bf{\text{Solution Outline:}}$ Use the properties of radicals to simplify the given expression, $\sqrt[3]{y^{24}} .$ $\bf{\text{Solution Details:}}$ Using the properties of radicals, the expression above simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{y^{24}} \\\\= \sqrt[3]{(y^{8})^3} \\\\= y^{8} .\end{array}