Answer
$z^{18}$
Work Step by Step
We are given the expression $(z^{-6})^{-3}$.
To simplify, we can use the power rule, which holds that $(a^{m})^{n}=a^{m\times n}$ (where a is a real number, and m and n are integers).
$(z^{-6})^{-3}=z^{-6\times-3}=z^{18}$