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: 9

Answer

$\dfrac{4^7}{4^5}=4^2$ $4^2=16$

Work Step by Step

$\dfrac{a^m}{a^n} = a^{m-n}, a \ne 0$ Thus, $\dfrac{4^7}{4^5} \\=4^{7-5} \\=4^2 \\=4(4) \\=16$
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