Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[-16z=\frac{1}{{}^{32}}\]
Divide both sides by \(-16\).
\[z=-\frac{\frac{1}{{}^{32}}}{16}\]
Simplify \(\frac{\frac{1}{{}^{32}}}{16}\) to \(\frac{1}{{}^{32}\times 16}\).
\[z=-\frac{1}{{}^{32}\times 16}\]
z=-1/(^32*16)