Answer
125
Work Step by Step
Based on the power of a quotient rule, 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, $\frac{5^{9}}{{5}^{6}}=5^{9-6}=5^{3}=125$.
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