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: 44

Answer

$-\frac{27y^{12}}{8x^{9}}$

Work Step by Step

Given : $(-\frac{3y^{4}}{2x^{3}}$$)^{3}$ This becomes : $(-1)^{3}\times\frac{(3y^{4})^{3}}{(2x^{3})^{3}}=$ $-1\times\frac{3^{3}\times y^{12}}{2^{3}\times x^{9}}$ (since $(\frac{a}{b}$ $)^{m}=$ $\frac{a^{m}}{b^{m}}$ and $(a^{m})^{n}=$ $a^{mn}$) This becomes : $-\frac{27y^{12}}{8x^{9}}$
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.