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: 29

Answer

$\dfrac{1}{125}$

Work Step by Step

Using laws of exponents, the given expression simplifies to \begin{align*} & \left( 5^{-1} \right)^{3} \\&= 5^{-1(3)} \\&= 5^{-3} \\\\&= \dfrac{1}{5^{3}} \\\\&= \dfrac{1}{125} .\end{align*}
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