error in qn The Powers That Be (2)

[jayka417]

qn: The Powers That Be (2)
note : carat symbol is for power

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

(1) y is prime

(2) x is prime

according mgmat cat answer is (b) statement 2 alone is sufficient

(5^2)(z) = 3x^y is simplified eqn.

if x is prime it must be 5, is the explanation given.
However if x is 5 then z must be 3/5 making it a non integer. then it does not satisfy the assumption that z is integer.
am i wrong?

[tim]

if x=5, then y=2 and z=3