#### Answer

$\dfrac{2}{3}$

#### Work Step by Step

Using the properties of radicals, the given expression, $
-\sqrt[5]{-\dfrac{32}{243}}
,$ simplifies to
\begin{array}{l}
-\sqrt[5]{\left( -\dfrac{2}{3} \right)^5}
\\\\=
-\left( -\dfrac{2}{3} \right)
\\\\=
\dfrac{2}{3}
.\end{array}