Answer
$-\dfrac{8}{27}$
Work Step by Step
The exponent is 3, which means that $-\dfrac{2}{3}$ will be multiplied by itself 3 times.
Thus,
$\left(-\dfrac{2}{3}\right)^3=\left(-\dfrac{2}{3}\right)\left(-\dfrac{2}{3}\right)\left(-\dfrac{2}{3}\right)=\left(-\dfrac{8}{27}\right)$