Algebra 1: Common Core (15th Edition)

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: 23

Answer

$\frac{y^{3}}{x}$

Work Step by Step

$(x^{5}\times y^{2})(x^{-6}\times y)$ $= (x^{5}\times x^{-6})(y^{2}\times y)$ $= (x^{5+ (-6)})(y^{2 +1})$ $= (x^{-1})(y^{3})$ $= \frac{1}{x^{1}} \times y^{3}$ $= \frac{y^{3}}{x}$
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