Answer
$\frac{1}{256x^{4}}$
Work Step by Step
The given expression is
$=(4x)^{-4}$
Use $a^{-n}=\frac{1}{a^n}$.
$=\frac{1}{(4x)^{4}}$
Use $(ab)^{n}=a^nb^n$.
$=\frac{1}{4^4x^{4}}$
Use $4^4=256$.
$=\frac{1}{256x^{4}}$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
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: 38
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