Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - Chapter Review - 7-1 Zero and Negative Exponents: 11

Answer

$\frac{9}{16}$

Work Step by Step

The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the given expression: $\frac{y^2}{(-x)^4}$ We plug in the given values for $x$ and $y$: $\frac{(-3)^2}{(-2)^4}$ We simplify the powers on the numerator and the denominator: $\frac{9}{16}$
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