To solve the given expression, we need to evaluate the expression \(\frac{8857}{-2} w^{-2}\) at the bounds \(w = 12\) and \(w = 12.15\). This involves substituting these values into the expression and calculating the result for each.
Step 1: Evaluate the Expression at \( w = 12 \)
We substitute \( w = 12 \) into the expression \( \frac{8857}{-2} w^{-2} \):
\[
\text{result}_{12} = \frac{8857}{-2} (12)^{-2} = -30.7535
\]
Step 2: Evaluate the Expression at \( w = 12.15 \)
Next, we substitute \( w = 12.15 \) into the same expression:
\[
\text{result}_{12.15} = \frac{8857}{-2} (12.15)^{-2} = -29.9988
\]
Final Answer
The results of the evaluations are:
\[
\text{result}_{12} = -30.7535, \quad \text{result}_{12.15} = -29.9988
\]
Thus, the final answers are:
\[
\boxed{\text{result}_{12} = -30.7535}
\]
\[
\boxed{\text{result}_{12.15} = -29.9988}
\]