If \(x^3 = 25, y^4 = 64,\) and \(z^5 = 216,\) and \(xy > 0,\) which of the following is true?

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If \(x^3 = 25, y^4 = 64,\) and \(z^5 = 216,\) and \(xy > 0,\) which of the following is true?

(A) \(x > y > z\)
(B) \(y > x > z\)
(C) \(y > z > x\)
(D) \(z > y > x\)
(E) \(z > x > y\)

Answer: E

Source: Manhattan GMAT
Source: — Problem Solving |