Answer
$-\frac{1}{32x^{5}}$
Work Step by Step
According to the negative exponent rule, $a^{-n}=\frac{1}{a^{n}}$.
Therefore, $(-2x)^{-5}=\frac{1}{(-2x)^{5}}=\frac{1}{(-2)^{5}x^{5}}=\frac{1}{-32x^{5}}=-\frac{1}{32x^{5}}$.
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 4 - Section 4.1 - Integer Exponents and Scientific Notation - 4.1 Exercises - Page 277: 52
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