Answer
$-\dfrac{8}{27}$
Work Step by Step
Using the properties of exponents, then,
\begin{array}{l}
\left( -\dfrac{2}{3} \right)^3
\\\\
\left( \dfrac{-2}{3} \right)^3
\\\\
\dfrac{(-2)^3}{(3)^3}
\\\\
\dfrac{-8}{27}
\\\\
-\dfrac{8}{27}
.\end{array}