Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 443: 13

Answer

$\dfrac{1}{9}$

Work Step by Step

(i) $a^m \cdot a^n = a^{m+n}$ (ii) $a^{-m} = \dfrac{1}{a^m}, a\ne0$ Use the rules above to obtain: $=3^{6-8} \\=3^{-2} \\=\dfrac{1}{3^2} \\=\dfrac{1}{3(3)} \\=\dfrac{1}{9}$
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