## Intermediate Algebra (6th Edition)

Published by Pearson

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

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.

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