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 319: 5

Answer

$\left(2^2\right)^3=2^6$ $2^6=64$

Work Step by Step

$\left(a^m\right)^n = a^{mn}$ Thus, $\left(2^2\right)^3 \\= 2^{2\cdot3} \\=2^6 \\=2(2)(2)(2)(2)(2) \\=64$
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