## College Algebra (11th Edition)

$|x|$
$\bf{\text{Solution Outline:}}$ Use the properties of radicals to simplify the given expression, $\sqrt[6]{x^6} .$ $\bf{\text{Solution Details:}}$ Using a property of radicals which is given by $\sqrt[n]{x^m}=\left|x^{m/n}\right|$ if $(m/n)$ is odd and $\sqrt[n]{x^m}=x^{m/n}$ if $(m/n)$ is even, the expression above is equivalent to \begin{array}{l}\require{cancel} |x| .\end{array}