Take "power law" with a grain of salt.[2] They often turn out better fit with log-normals, log-logistics, etc.
[1] https://www.google.com/search?q=scaling+laws https://scholar.google.com/scholar?as_ylo=2016&q=scaling+law... [2] A classification of natural and social distributions Part one: the descriptions https://arxiv.org/abs/1507.03408