Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.2 - Exponents and Scientific Notation - Exercise Set: 57

Answer

$\frac{3y^{14}}{4x^{4}}$

Work Step by Step

Start with given expression: $\frac{24x^{3}y^{5}}{32x^{7}y^{-9}}$ Separate fractions with like terms: $\frac{24}{32}\times\frac{x^{3}}{x^{7}}\times\frac{y^{5}}{y^{-9}}$ Divide and use quotient rule on fractions: $\frac{3}{4}x^{-4}y^{14}$ Use negative exponent rule to simplify: $\frac{3y^{14}}{4x^{4}}$
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