We have carried out extensive Monte Carlo simulations of the ferromagn
etic Ising model on square and cubic lattices. By analysing the power
spectrum of the magnetization autocorrelation function we have estimat
ed the values of the dynamic exponents for the two models. Our results
are z = 2.13 +/- 0.02 in two dimensions and z = 2.04 +/- 0.03 in thre
e dimensions.