Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.1 - Exponents and Scientific Notation - Exercise Set: 49

Answer

1

Work Step by Step

We are given the expression $\frac{x^{-9}x^{4}}{x^{-5}}$. To simplify, we can first use the product rule, which holds that $a^{m}\times a^{n}=a^{m+n}$. $\frac{x^{-9+4}}{x^{-5}}=\frac{x^{-5}}{x^{-5}}=1$ In this case, the numerator and denominator are equal to each other, so the fraction simplifies to 1.
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.