Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.8 The Complex Numbers - 10.8 Exercise Set - Page 687: 93



Work Step by Step

Using $i^2=-1$ and the laws of exponents, the given expression, $ (5i)^{3} ,$ is equivalent to \begin{array}{l}\require{cancel} 5^3i^3 \\\\= 125i^3 \\\\= 125i^2\cdot i \\\\= 125(-1)\cdot i \\\\= -125i \end{array}
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