If x, y, z are positive integers and x<y<z, which of t

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[Math Revolution GMAT math practice question]

If x, y, z are positive integers and x<y<z, which of the following must be greater than (z^x)(z^y)?

A. y^{2z}
B. y^{2y}
C. x^{2y}
D. x^{zx}
E. z^{2y}

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by Max@Math Revolution » Fri Aug 10, 2018 1:20 am
=>

Since z^x < z^y, we have (z^x)(z^y)< (z^y)(z^y) = z^{2y}.

Therefore, the answer is E.
Answer: E