Question

Find the numerical equivalent of 25 ⋅2−2
2
5

⋅
2
−
2
(1 point)
Responses

Answer 1

To find the numerical equivalent of the expression \( 25 \cdot 2^{-2} \), we can first simplify \( 2^{-2} \):

\[
2^{-2} = \frac{1}{2^2} = \frac{1}{4}
\]

Now we can substitute this back into the expression:

\[
25 \cdot 2^{-2} = 25 \cdot \frac{1}{4}
\]

Next, we perform the multiplication:

\[
25 \cdot \frac{1}{4} = \frac{25}{4}
\]

Thus, the numerical equivalent of the expression \( 25 \cdot 2^{-2} \) is:

\[
\frac{25}{4} = 6.25
\]

So the final answer is:

\[
\boxed{6.25}
\]