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If \(x, y,\) and \(z\) are integers greater than \(1,\) and \(3^{27}\cdot 5^{10}\cdot z=5^8\cdot 9^{14}\cdot x^y,\) then

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If \(x, y,\) and \(z\) are integers greater than \(1,\) and \(3^{27}\cdot 5^{10}\cdot z=5^8\cdot 9^{14}\cdot x^y,\) then

by M7MBA » Fri Jan 28, 2022 7:42 am

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If \(x, y,\) and \(z\) are integers greater than \(1,\) and \(3^{27}\cdot 5^{10}\cdot z=5^8\cdot 9^{14}\cdot x^y,\) then what is the value of \(x?\)

(1) \(y\) is prime.
(2) \(x\) is prime.

Answer: B

Source: Manhattan GMAT
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