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 - Page 268: 33

Answer

$\dfrac{1}{x^{20}y^{15}}$

Work Step by Step

Using laws of exponents, the given expression simplifies to \begin{align*} & \left( \dfrac{x^4}{y^{-3}} \right)^{-5} \\\\&= \dfrac{x^{4(-5)}}{y^{-3(-5)}} \\\\&= \dfrac{x^{-20}}{y^{15}} \\\\&= \dfrac{1}{x^{20}y^{15}} .\end{align*}
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