Power Law Decay Expressed As Multiple Exponential Decays

Hi there,

I know that power law decay can be expressed as the combination of multiple single exponential decays (or another way of saying it is that if there are multiple timescales in a decay process, when there is no dominant timescale, then power law behavior emerges). Empirically, it's fairly easy to see that this is the case (and see http://arxiv.org/PS_cache/physics/pd.../0605149v2.pdf for an example of expressing power law decay as a sum of exponentials). However, I'm trying to understand *why* this is the case. Does anybody have an intuitive explanation for why power law decay contains multiple exponential decays? Thanks!