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 - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 442: 20



Work Step by Step

When dividing exponents with the same base, we subtract the exponents and keep the same base: $m^{\frac{2}{3} - (-1)}n^{2 - 3}$ Subtract the exponents: $m^{\frac{5}{3}}n^{-1}$ We cannot leave the answer this way with negative exponents. With negative exponents, we move the bases into the denominator, which will make the exponents positive: $\frac{m^{\frac{5}{3}}}{n}$
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.