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: 10

Answer

$\dfrac{6^7}{6^5} = 6^2$ $6^2=36$

Work Step by Step

$\dfrac{a^m}{a^n} = a^{m-n}, a \ne 0$ Thus, $\dfrac{6^7}{6^5} \\=6^{7-5} \\=6^2 \\=6(6) \\=36$
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