The given expression is:

$\frac{10^0 r^{-11} s}{3^2}$

We can simplify this step by step:

1. Simplify $10^0$: Any number raised to the power of 0 is 1, so $10^0 = 1$.

   This changes the expression to:

   $\frac{1 \cdot r^{-11} s}{3^2}$

2. Simplify $3^2$: $3^2 = 9$.

   Now the expression becomes:

   $\frac{r^{-11} s}{9}$

3. Interpret $r^{-11}$: A negative exponent means the reciprocal, so $r^{-11} = \frac{1}{r^{11}}$.