College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.5 - Graphing Techniques: Transformations - 3.5 Assess Your Underdstanding: 95

Answer

$\displaystyle \frac{y^2}{x^4}$

Work Step by Step

We simplify: $\displaystyle \frac{(x^{-2}y^{3})^{4}}{(x^{2}y^{-5})^{-2}}$ First we distribute the exponents: $\displaystyle \frac{(x^{-8}y^{12})}{(x^{-4}y^{10})}$ Now we combine like exponents: $x^{-8--4}y^{12-10}$ $x^{-8+4}y^{12-10}$ $x^{-4}y^{2}$ $\displaystyle \frac{y^2}{x^4}$
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