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 - Exercise Set 5.6 - Page 321: 134

Answer

True

Work Step by Step

The statement is true because: $5^{-2} = \dfrac{1}{5^2} = \dfrac{1}{25}$ $2^{-5} = \dfrac{1}{2^5} = \dfrac{1}{32}$ Thus, $5^{-2} \gt 2^{-5}$
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