Answer
$\frac{1}{27}$
Work Step by Step
$81^{-\frac{3}{4}}=\frac{1}{81^{\frac{3}{4}}}=\frac{1}{(3^{4})^{\frac{3}{4}}}=\frac{1}{(3)^{4\times\frac{3}{4}}}=\frac{1}{3^{3}}=\frac{1}{27}$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 10 - Cumulative Review - Page 754: 30
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