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If 2^x = 32, what is the value of 2^(x-2)?

GRE · 2024 · quant slot 2
Question:
If 2^x = 32, what is the value of 2^(x-2)?

Options

(A) 4
(B) 6
(C) 8
(D) 12
(E) 16
Answer: (C) 8

Explanation:
2^x = 32 = 2^5, so x = 5. Therefore 2^(x-2) = 2^(5-2) = 2^3 = 8.

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