Answer
True
Work Step by Step
$-5^{7}=-(5^{7})=-(5\times5\times5\times5\times5\times5\times5)=-(78125)=-78125$
$(-5^{7})=-5\times-5\times-5\times-5\times-5\times-5\times-5=-78125$
Therefore, the statement is true.
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
Published by
Pearson
ISBN 10:
0321969359
ISBN 13:
978-0-32196-935-4
Chapter R - Section R.3 - Exponents, Roots, and Order of Operations - R.3 Exercises - Page 28: 2
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