Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Appendix B - Exercise Set: 66

Answer

$(\frac{x}{y})^9$

Work Step by Step

Use the product rule and the definition of negative exponents. $(x^{-4}y^5)(x^{13}y^{-14})=x^{-4+13}y^{5+(-14)}=x^9y^{-9}=\frac{x^9}{y^9}=(\frac{x}{y})^9$
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