Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - Chapter Test - Page 288: 3

Answer

$\frac{5x}{7y^5}$

Work Step by Step

$\frac{25x^{-9}y^{-8} }{35 x^{-10} y^{-3}}$ $=\frac{ 25x^{10}y^3 }{35 x^9y^8}$ $=\frac{5\times5}{5\times7} \frac{x^{10} }{x^9} \frac{y^3}{y^8}$ $=\frac{5}{7} x^{10-9} y^{3-8}$ $=\frac{5}{7} x y^{-5}$ $=\frac{5x}{7y^5}$
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