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 297: 41

Answer

$\frac{1}{243s^{40}}$

Work Step by Step

The given expression is $=(3s^8)^{-5}$ Use $a^{-n}=\frac{1}{a^n}$. $=\frac{1}{(3s^8)^5}$ Use $(ab)^n=a^nb^n$. $=\frac{1}{3^5(s^8)^5}$ Use $(a^m)^n=a^{m\cdot n}$. $=\frac{1}{3^5s^{8\cdot 5}}$ Use $3^5=243$. $=\frac{1}{243s^{40}}$.
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