To find the numerical equivalent of the expression \( 25 \cdot 2^{-2} \), we first need to calculate \( 2^{-2} \).
The expression \( 2^{-2} \) is the same as \( \frac{1}{2^2} \):
\[ 2^2 = 4 \] \[ 2^{-2} = \frac{1}{4} \]
Now we can substitute this back into the original expression:
\[ 25 \cdot 2^{-2} = 25 \cdot \frac{1}{4} \]
Calculating this gives:
\[ 25 \cdot \frac{1}{4} = \frac{25}{4} = 6.25 \]
It appears that none of the provided answer choices match \( 6.25 \). Let's review if we made any simplification mistakes or if the options are meant to involve different interpretations.
However, according to the calculation:
- \( 25 \cdot 2^{-2} = 6.25 \)
Since this is not in the options of \( 2, 8, 128, \) or \( 16 \), if we consider other errors or interpretations, we can conclude:
None of the options provided are correct based on the calculation of \( 25 \cdot 2^{-2} \). The correct answer is \( 6.25 \).