Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.1 Algebra Essentials - A.1 Assess Your Understanding - Page A12: 102

Answer

$\frac{1}{x^3y}$.

Work Step by Step

The given expression is $=\frac{x^{-2}y}{xy^2}$ Or we can write. $=\frac{x^{-2}}{x^1}\cdot \frac{y^{1}}{y^2}$ Use the law of exponents $\frac{a^{m}}{a^n}=a^{m-n}$ $=(x^{-2-1})\cdot (y^{1-2})$ Simplify. $=(x^{-3})\cdot (y^{-1})$ Use the law of exponents $a^{-n}=\frac{1}{a^{n}}$ $=\frac{1}{x^3}\cdot \frac{1}{y}$ $=\frac{1}{x^3y}$.
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