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: 58

Answer

$\frac{y^{12}}{3x^{8}}$

Work Step by Step

Start with given expression: $\frac{10x^{4}y^{9}}{30x^{12}y^{-3}}$ Separate fractions with like terms: $\frac{10}{30}\times\frac{x^{4}}{x^{12}}\times\frac{y^{9}}{y^{-3}}$ Divide and use quotient rule on fractions: $\frac{1}{3}x^{-8}y^{12}$ Use negative exponent rule to simplify: $\frac{y^{12}}{3x^{8}}$
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