Answer
$\dfrac{\sqrt{13}}{x^3}$
Work Step by Step
Using $\sqrt{\dfrac{x}{y}}=\dfrac{\sqrt{x}}{\sqrt{y}}$ or the quotient rule of radicals, the given expression, $
\sqrt{\dfrac{13}{x^6}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\sqrt{13}}{\sqrt{x^6}}
\\\\=
\dfrac{\sqrt{13}}{\sqrt{(x^3)^2}}
\\\\=
\dfrac{\sqrt{13}}{x^3}
.\end{array}
Note that variables are assumed to have positive real numbers.
