Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.2 - Negative Exponents and Scientific Notation - Exercise Set: 34

Answer

$\frac{1}{z^{15}x^{15}}$

Work Step by Step

We know that $a^{−n}=\frac{1}{a^{n}}$ and $\frac{1}{a^{-n}}=a^{n}$ (as long as a is a nonzero real number and n is an integer). Therefore, $(z^{5}x^{5})^{-3}=(z^{5})^{-3}(x^{5})^{-3}=z^{5\times-3}\times x^{5\times-3}=z^{-15}x^{-15}=\frac{1}{z^{15}x^{15}}$.
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