Alright, here's what I've come up w/ before i read anyones replies, which all had something to say, but left me w/ everyone saying it's indeterminate.
Let y = f(x)^g(x), take the ln of both sides
ln(y) = ln(f(x)^g(x))
ln(y) = g(x)*ln(f(x)), now exponentiate both sides
e^ln(y) =...