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: 19

Answer

$\frac{b^{7}}{64}$

Work Step by Step

The given expression is $=\frac{4^{-3}a^0}{b^{-7}}$ Use $a^0=1$. $=\frac{4^{-3}(1)}{b^{-7}}$ Use $a^{-n}=\frac{1}{a^n}$. $=\frac{b^{7}}{4^{3}}$ Use $4^3=64$. $=\frac{b^{7}}{64}$.
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