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If \(\dfrac{2^{(x+y)^2}}{2^{(x-y)^2}}=2,\) what is the value of \(xy?\)

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by Gmat_mission » Sat Oct 31, 2020 6:34 am

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If \(\dfrac{2^{(x+y)^2}}{2^{(x-y)^2}}=2,\) what is the value of \(xy?\)

(A) \(-\dfrac14\)

(B) \(\dfrac12\)

(C) \(0\)

(D) \(\dfrac14\)

(E) \(\dfrac12\)

Answer: D

Source: GMAT Prep
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