For positive integers \(x\) and \(y,\) \(x^y\cdot 8^3=2(10^8).\) What is the value of \(y?\)

[VJesus12]

For positive integers \(x\) and \(y,\) \(x^y\cdot 8^3=2(10^8).\) What is the value of \(y?\)

(1) \(x > y\)
(2) \(y\) is a prime number.

Answer: B

Source: Veritas Prep