## Intermediate Algebra (6th Edition)

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.