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Exponents and Powers
What is the value of 2 raised to the power of the square root of 64 (2^√64)?
Explanation and memory cue
The expression 2^√64 means 2 raised to the power of the square root of 64. Since √64 = 8, the expression becomes 2^8 = 256, which is not among the options. However, the options suggest a misunderstanding. If the question intended 2^(√64) = 2^8 = 256, none of the options match. If the question meant (2^√64) = 2^8 = 256, then 'None of these' would be correct. But if the question is interpreted as 2^(√64) = 2^8 = 256, none of the options A, B, or C are correct. Therefore, the best correction is to clarify the question and options. Alternatively, if the question is 2^(√64) = 2^8 = 256, none of the options match, so 'D' is correct. Since the original correct_answer is B (2), which is incorrect, the correct answer should be D (None of these).