Answer
$\frac{27\sqrt 2}{32}$
Work Step by Step
$(\frac{8}{9})^{-3/2}=(\frac{9}{8})^{3/2}=(\frac{3^2}{2^3})^{3/2}=(\frac{3}{2\sqrt 2})^{3}=\frac{27}{16\sqrt 2}=\frac{27\sqrt 2}{32}$
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.