Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.2 - More Work with Exponents and Scientific Notation - Exercise Set: 16

Answer

$x^{15}$

Work Step by Step

We are given the expression $(\frac{x^{-9}}{x^{-4}})^{-3}$. First, we can use the power rule to simplify. $(\frac{x^{-9}}{x^{-4}})^{-3}=\frac{x^{-9\times-3}}{x^{-4\times-3}}=\frac{x^{27}}{x^{12}}$ Next, we can use the quotient rule. $x^{27-12}=x^{15}$
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