Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.1 - Properties of Exponents - Exercises - Page 296: 10

Answer

$=\frac{1}{5}$

Work Step by Step

The given expression is $=\frac{5^{-1}}{-9^0}$ Use $a^0=1$. $=\frac{5^{-1}}{-1}$ Use $a^{-n}=\frac{1}{a^n}$. $=-\frac{1}{(5)^{1}}$ Use $(5)^1=5$. $=-\frac{1}{5}$.
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