Answer
$\dfrac{1}{16}$
Work Step by Step
The exponent is 4, which means that $-\dfrac{1}{2}$ will be multiplied by itself 4 times.
Thus,
$\left(-\dfrac{1}{2}\right)^4=\left(-\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)=\dfrac{1}{16}$