Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises: 77

Answer

$\frac{y^{6}}{256x^{2}}$

Work Step by Step

=$(\frac{(4x)^{2}y}{xy^{4}})^{-2}$ =$(\frac{16x^{2}y}{xy^{4}})^{-2}$ =$(\frac{16x^{2-1}y^{1-1}}{x^{1-1}y^{4-1}})^{-2}$ =$(\frac{16x}{y^{3}})^{-2}$ =$(\frac{y^{3}}{16x})^{2}$ =$\frac{y^{6}}{256x^{2}}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.