Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.1 Algebra Essentials - A.1 Assess Your Understanding - Page A12: 99


$ \displaystyle \frac{x}{y}$

Work Step by Step

Apply rule $\displaystyle \quad \frac{a^{m}}{a^{n}}=a^{m-n}$ $\displaystyle \frac{x^{2}y^{3}}{xy^{4}}=\frac{x^{2}}{x}\cdot\frac{y^{3}}{y^{4}}\quad$. $=x^{2-1}y^{3-4}$ $=x^{1}y^{-1}\quad$ Apply rule $\displaystyle \quad a^{-n}=\frac{1}{a^{n}}$ $=\displaystyle x \cdot \frac{1}{y} \\=\displaystyle \frac{x}{y}$
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