Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.6 Exponents and Scientific Notation - Concept and Vocabulary Check: 8

Answer

The statement is false. $5^{-2} = \dfrac{1}{5^2}$

Work Step by Step

$a^{-m} = \dfrac{1}{a^m}, m \gt 0$ Thus, the given statement is false since applying the rule above gives us: $5^{-2}=\dfrac{1}{5^2}$
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