Answer
$y^{8}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
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}