Answer
$(\frac{x}{y})^9$
Work Step by Step
Use the product rule and the definition of negative exponents.
$(x^{-4}y^5)(x^{13}y^{-14})=x^{-4+13}y^{5+(-14)}=x^9y^{-9}=\frac{x^9}{y^9}=(\frac{x}{y})^9$
Prealgebra (7th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321955048
ISBN 13:
978-0-32195-504-3
Appendix B - Exercise Set - Page 742: 66
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