Answer
$\frac{1}{z^{15}}$
Work Step by Step
$(z^{-3})^{3}z^{-6}=z^{-3\times3}z^{-6}=z^{-9}z^{-6}=z^{-9+(-6)}=z^{-9-6}=z^{-15}=\frac{1}{z^{15}}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.