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: 11

Answer

$\dfrac{2^8}{2^4}=2^4$ $2^4=16$

Work Step by Step

$\dfrac{a^m}{a^n} = a^{m-n}, a \ne 0$ Thus, $\dfrac{2^8}{2^4} \\=2^{8-4} \\=2^4 \\=2(2)(2)(2) \\=16$
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