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If \(x^xy^y=\dfrac{24^3}2,\) and \(x\) and \(y\) are integers such that \(x < y,\) what is the value of \(y - x?\)

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If \(x^xy^y=\dfrac{24^3}2,\) and \(x\) and \(y\) are integers such that \(x < y,\) what is the value of \(y - x?\)

by Gmat_mission » Sun Jun 21, 2020 3:51 pm

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If \(x^xy^y=\dfrac{24^3}2,\) and \(x\) and \(y\) are integers such that \(x < y,\) what is the value of \(y − x?\)

(A) \(-1\)
(B) \(1\)
(C) \(3\)
(D) \(5\)
(E) \(7\)

[spoiler]OA=B[/spoiler]

Source: Manhattan GMAT
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