Answer
$\frac{1}{8}y^{\frac{-7}{3}}$
Work Step by Step
We are given
$(2y^{\frac{7}{9}})^{-3}$
$=\frac{1}{8}y^{\frac{-7}{3}}$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 27
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