Answer
$\frac{y^{3}}{x}$
Work Step by Step
$(x^{5}\times y^{2})(x^{-6}\times y)$
$= (x^{5}\times x^{-6})(y^{2}\times y)$
$= (x^{5+ (-6)})(y^{2 +1})$
$= (x^{-1})(y^{3})$
$= \frac{1}{x^{1}} \times y^{3}$
$= \frac{y^{3}}{x}$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 23
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