Answer
$\frac{1}{x^{8}}$
Work Step by Step
We are given the expression $\frac{x^{-5}}{x^{3}}$.
To simplify, we can use the quotient rule, which holds that $\frac{a^{m}}{a^{n}}=a^{m-n}$ (where a is a nonzero real number, and m and n are integers).
$\frac{x^{-5}}{x^{3}}=x^{-5-3}=x^{-8}$
To simplify this into a positive exponent, we know that $a^{-n}=\frac{1}{a^{n}}$ (where a is a nonzero real number and n is a positive integer).
Therefore, $x^{-8}=\frac{1}{x^{8}}$