Answer
$6$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of radicals to simplify the given expression, $
\sqrt[10]{(-6)^{10}}
.$
$\bf{\text{Solution Details:}}$
Using $\sqrt[n]{x^n}=|x|$ if $n$ is even and $\sqrt[n]{x^n}=x$ if $n$ is odd, then
\begin{array}{l}\require{cancel}
\sqrt[10]{(-6)^{10}}
\\\\=
|-6|
\\\\=
6
.\end{array}