Answer
$-\frac{1}{32}$
Work Step by Step
An exponent of $5$ over the whole fraction means that we raise both the numerator and the denominator to the power of $5$:
$(-\frac{1}{2})^{5}=(\frac{-1}{2})^{5}=\frac{(-1)^{5}}{2^{5}}=\frac{-1\times-1\times-1\times-1\times-1}{2\times2\times2\times2\times2}=\frac{-1}{32}=-\frac{1}{32}$