We analyse the balls in bins process with feedback with primary focus on the power law feedback function $f(ω)=ηω^γ\,$, $η>0\,$ $γ\geq0\,$. Using the recursive solution to the master equation we find for power law feedback numerical evidence that the probability mass function for finite time scales asymptotically with $ω^{-γ}\,$ for $γ>1\,$. We also provide simulations supporting a previous result by Oliveira (corollary to Theorem 4 in \cite{oliveira2009onset}) that the tail of the losers scale as $ω^{-(γ-1)}\,$ but extending to $N \geq 2$ bins. We thus find evidence that the balls in bins process with power law feedback produces power law distributions as is common to many real world phenomena.