## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 5 - Number Theory and the Real Number System - 5.6 Exponents and Scientific Notation - Exercise Set 5.6: 135

#### Answer

False A corrected statement would be: $(-2)^4=2^{4}$

#### Work Step by Step

The statement is false because: $(-2)^4 = 16$ $2^{-4} = \dfrac{1}{2^4} = \dfrac{1}{16}$ Thus, $(-2)^4 \ne 2^{-4}$ A corrected statement would be: $(-2)^4=2^{4}$

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