In statistics, if you raise the normal distribution to an exponent why do you get exponential growth? i.e. if e^0=1 then when you have e^w, where
w=N(0, 1) "mean=0,sd=1"; we've taken the normal distribution and raised it to the exponent. So wouldn't we assume this to have no effect? Instead we get exponential growth. What is the statistical error that causes this and how do we fix it?