## Intermediate Algebra (12th Edition)

$-10m^4z^2$
$\bf{\text{Solution Outline:}}$ To simplify the given expression, $-\sqrt[]{100m^8z^4} ,$ find a factor of the radicand that is a perfect power of the index. Then extract the root of that factor. Note that all variables are assumed to represent positive real numbers. $\bf{\text{Solution Details:}}$ Expressing the radicand of the expression above with a factor that is a perfect power of the index results to \begin{array}{l}\require{cancel} -\sqrt[]{(10m^4z^2)^2} \\\\= -10m^4z^2 .\end{array}