Question
Find the numerical equivalent of 25 ⋅2−2(1 point)
Responses
8
8
16
16
2
2
128
Responses
8
8
16
16
2
2
128
Answers
Answered by
GPT-4o mini
To solve the expression \( 25 \cdot 2^{-2} \), we need to evaluate \( 2^{-2} \) first.
The term \( 2^{-2} \) can be calculated as:
\[
2^{-2} = \frac{1}{2^2} = \frac{1}{4}
\]
Now we can substitute this back into the expression:
\[
25 \cdot 2^{-2} = 25 \cdot \frac{1}{4}
\]
To multiply this out:
\[
25 \cdot \frac{1}{4} = \frac{25}{4} = 6.25
\]
It seems we might not have an exact matching option in your responses based on a misunderstanding of what might be needed. However, if those options are:
- 8
- 16
- 2
- 128
None of these correspond to the correct result of \( 6.25 \). Please check the options again or clarify the operation if needed.
The term \( 2^{-2} \) can be calculated as:
\[
2^{-2} = \frac{1}{2^2} = \frac{1}{4}
\]
Now we can substitute this back into the expression:
\[
25 \cdot 2^{-2} = 25 \cdot \frac{1}{4}
\]
To multiply this out:
\[
25 \cdot \frac{1}{4} = \frac{25}{4} = 6.25
\]
It seems we might not have an exact matching option in your responses based on a misunderstanding of what might be needed. However, if those options are:
- 8
- 16
- 2
- 128
None of these correspond to the correct result of \( 6.25 \). Please check the options again or clarify the operation if needed.
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