Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review: 45

Answer

$\frac{1}{a^{\frac{9}{2}}}$

Work Step by Step

$(a^{\frac{1}{2}} \times a^{-2})^{3}$ =$(a^{\frac{1}{2}-2})^{3}$ =$(a^{\frac{1-2(2)}{2}})^{3}$ =$(a^{\frac{1-4}{2}})^{3}$ =$(a^{\frac{-3}{2}})^{3}$ =$a^{-\frac{9}{2}}$ =$\frac{1}{a^{\frac{9}{2}}}$
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