Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Review: 50

Answer

$a-a^{2}$

Work Step by Step

$a^{-\frac{1}{4}}(a^{\frac{5}{4}}-a^{\frac{9}{4}})$ =$a^{-\frac{1}{4}}(a^{\frac{5}{4}})-a^{-\frac{1}{4}}(a^{\frac{9}{4}})$ =$(a^{-\frac{1}{4}+\frac{5}{4}})-(a^{-\frac{1}{4}+\frac{9}{4}})$ =$(a^{\frac{-1+5}{4}})-(a^{\frac{-1+9}{4}})$ =$(a^{\frac{4}{4}})-(a^{\frac{8}{4}})$ =$(a^{1})-(a^{2})$ =$a-a^{2}$
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