Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.1 - Exponents and Scientific Notation - Exercise Set: 37

Answer

$-\frac{1}{27}$

Work Step by Step

We are given the expression $(-3)^{-3}$. In general, $a^{-n}=\frac{1}{a^{n}}$, where a is a nonzero real number and n is a positive integer. Therefore, $(-3)^{-3}=\frac{1}{(-3)^{3}}=\frac{1}{(-3)\times(-3)\times(-3)}=-\frac{1}{27}$
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