\[\left( - \frac{1}{2} \right)^{5} = - \left( \frac{1}{2} \right)^{5} = - \frac{1}{2^{5}} =\]
\[= - \frac{1}{2^{2} \cdot 2^{2} \cdot 2} = - \frac{1}{4 \cdot 4 \cdot 2} =\]
\[= - \frac{1}{162} = - \frac{1}{32}.\]