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: 12

Answer

$\dfrac{3^8}{3^4}=3^4$ $3^4=81$

Work Step by Step

$\dfrac{a^m}{a^n}=a^{m-n}, a \ne 0$ Thus, $\dfrac{3^8}{3^4} \\=3^{8-4} \\=3^4 \\=3(3)(3)(3) \\=81$
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