To find the numerical equivalent of \( 25 \cdot 2^{-2} \), we first need to calculate \( 2^{-2} \).
\[ 2^{-2} = \frac{1}{2^2} = \frac{1}{4} \]
Then, we substitute this back into the expression:
\[ 25 \cdot 2^{-2} = 25 \cdot \frac{1}{4} \]
Now we perform the multiplication:
\[ 25 \cdot \frac{1}{4} = \frac{25}{4} = 6.25 \]
However, none of the provided responses (128, 2, 16, 8) appears to match 6.25.
It seems like there may have been a misunderstanding of what is being asked or the options given. To check and confirm:
Let's examine:
- \( 25 \cdot 2^{-2} \) gives \( 6.25 \).
- Other representations or simplifications are unlikely because the calculation directly leads to \( 6.25 \).
In summary, none of the responses are correct as per my calculations, suggesting there might have been a typo or miscommunication in the problem or the choices.