Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Common Core Cumulative Standards Review - Selected Response - Page 540: 2

Answer

Answer choice $H$: $\boxed{27x^3y^3}$

Work Step by Step

$(3y)^{-2}$ is the same thing as $\frac{1}{(3y)^2}$. $\frac{1}{\frac{1}{x}}$ is the same thing as $x$. Therefore, $ \frac{3x^3y}{\frac{1}{(3y)^2}}$ is the same thing as, $3x^3y \times 9y^2$. The answer is $\boxed{27x^3y^3}$
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