Answer
$ \frac{a^{11/8}}{b^{1/6}}$
Work Step by Step
$(a^{3/4}b^{2/3})(a^{5/8}b^{-5/6})=a^{(3/4+5/8)}b^{(2/3-5/6)}=a^{11/8}b^{-1/6}=\frac{a^{11/8}}{b^{1/6}}$
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.