Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.2 - Negative Exponents and Scientific Notation - Exercise Set: 65

Answer

$\dfrac{(xy^{3})^{5}}{(xy)^{-4}}=x^{9}y^{19}$

Work Step by Step

$\dfrac{(xy^{3})^{5}}{(xy)^{-4}}$ Evaluate the exponential expressions in the numerator and the denominator: $\dfrac{(xy^{3})^{5}}{(xy)^{-4}}=\dfrac{x^{5}y^{15}}{x^{-4}y^{-4}}=...$ Evaluate the division and simplify: $...=x^{5-(-4)}y^{15-(-4)}=x^{9}y^{19}$
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