Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - Chapters 1-7 Cumulative Review Problem Set - Page 324: 16

Answer

$-\frac{1}{27}$

Work Step by Step

Recall the rule: $x^{-n}=\frac{1}{x^{n}}$ We first rearrange the expression into a form that doesn't contain any negative exponents, and then we solve the expression. $(-3)^{-3}=\frac{1}{(-3)^{3}}=\frac{1}{-3\times -3\times -3}=\frac{1}{-27}=-\frac{1}{27}$
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