## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 7 - Exponents and Exponential Functions - Mid-Chapter Quiz - Page 446: 17

#### Answer

$\frac{1}{a^2}$

#### Work Step by Step

You are given $\frac{a^4}{a^6}$.Simplify the expression: $a^{4-6}$ -since you are dividing power with the same base you subtract the exponents- $a^{-2}$ -use the exponent rule $x^{-y}$=$\frac{1}{x^y}$ =$\frac{1}{a^2}$

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