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 R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set - Page 961: 19



Work Step by Step

Using the laws of exponents, the given expression, $ (7^8)^5 ,$ simplifies to \begin{array}{l}\require{cancel} 7^{8(5)} \\\\= 7^{40} .\end{array} Note that we are raising something to the 8th power to the 5th power. Because we are raising a power to a power, we multiply the exponents.
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