To solve the expression \( 25 \cdot 2^{-2} \), we can break it down step by step:
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Calculate \( 2^{-2} \): \[ 2^{-2} = \frac{1}{2^2} = \frac{1}{4} \]
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Now substitute \( 2^{-2} \) back into the expression: \[ 25 \cdot 2^{-2} = 25 \cdot \frac{1}{4} \]
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Multiply the numbers: \[ 25 \cdot \frac{1}{4} = \frac{25}{4} = 6.25 \]
Since 6.25 is not one of the response options provided (16, 8, 2, 128), let's consider if \( 2^{-2} \) was interpreted differently or if there's another potential error in the responses.
None of the options exactly match the calculation of \( 25 \cdot 2^{-2} \). However, if you meant \( 25 \cdot 2^{2} \):
- \( 2^{2} = 4 \)
- \( 25 \cdot 4 = 100 \)
Again, that does not match the response.
Thus, the correct answer based on the initial problem is \( 6.25 \), but if limited to the options given, none are correct. Can you please reconfirm if there are any conditions or different values to consider?
1 answer