Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.1 Composite Functions and Inverse Functions - 12.1 Exercise Set - Page 788: 79


$\displaystyle \frac{x^{12}}{9y^{8}}$

Work Step by Step

... apply: $(abc)^{n}=a^{n}b^{n}c^{n}$ $=(-1)^{-2}(3)^{-2}(x^{-6})^{-2}(y^{4})^{-2}\qquad $ ... apply $(a^{m})^{n}=a^{mn}$, and $a^{-n}=\displaystyle \frac{1}{a^{n}}$ $=[(-1)^{2}]^{-1}(\displaystyle \frac{1}{3^{2}})x^{12}y^{-8}$ $=\displaystyle \frac{1^{-1}x^{12}}{3^{2}y^{8}}$ $=\displaystyle \frac{x^{12}}{9y^{8}}$
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