Answer
36
Work Step by Step
Based on the quotient rule for exponents, we know that $\frac{a^{m}}{{a}^{n}}=a^{m-n}, a\ne0$ (where $m$ and $n$ are positive integers and $a$ is a real number).
Therefore, $\frac{(-6)^{13}}{(-6)^{11}}=(-6)^{13-11}=(-6)^{2}=-6\times-6=36$.