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

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if \(x^x\cdot y^y=\dfrac{24^3}{2},\) 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
Source: — Problem Solving |