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

$-3a^{4}$
$\bf{\text{Solution Outline:}}$ Use the properties of radicals to simplify the given expression, $\sqrt[3]{-27a^{12}} .$ $\bf{\text{Solution Details:}}$ Using the properties of radicals, the expression above simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{-27a^{12}} \\\\= \sqrt[3]{(-3a^{4})^3} \\\\= -3a^{4} .\end{array}