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: 136

Answer

False A corrected statement would be: $5^2 \cdot 5^{-2} = 2^{5} \cdot 2^{-5}$

Work Step by Step

The statement is false because: $5^2 \cdot 5^{-2} = 5^0 = 1$ $2^{5} \cdot 2^{-5} = 2^0 = 1$ Thus, $5^2 \cdot 5^{-2} = 2^{5} \cdot 2^{-5}$
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