Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.1 - Simplifying Algebraic Fractions - Concept Quiz 7.1: 10

Answer

True

Work Step by Step

We use the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$ to help us cancel out the common factors of $y$ in the numerator and denominator: $\frac{12xy^{3}}{-16y^{2}}$ =$\frac{12}{-16}\times x\frac{y^{3}}{y^{2}}$ =$\frac{3}{-4}\times x\times y^{3-2}$ =$-\frac{3}{4}\times x\times y$ =$-\frac{3xy}{4}$ Since this answer matches the one in the statement, the statement is true.
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