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 4 - Polynomials - 4.2 Negative Exponents and Scientific Notations - 4.2 Exercise Set - Page 244: 8


Option (b)

Work Step by Step

Use the rule $\left(\frac{a}{b}\right)^m=\frac{a^m}{b^m}$ to obtain: $=\dfrac{(x^{-3})^{-3}}{(y^{-2})^{-3}}$ Use the rule $(a^m)^n=a^{mn}$ $=\dfrac{x^{-3(-3)}}{y^{-2(-3)}} \\=\dfrac{x^9}{y^6}$ Thus, the answer is Option (b).
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