Relaxation times tau(T,v) for different temperatures, T, and specific volumes, v, collapse to a master curve vs Tu(gamma), with gamma a material constant. The isochoric fragility, m(V), is also a material constant, inversely correlated with gamma. From these experimental facts, we obtain a three-parameter function that accurately fits tau(T,v) data for several glass-formers over the supercooled regime, without any divergence of tau below T-g. Although the values of the three parameters depend on the material, only gamma significantly varies; thus, by normalizing material-specific quantities related to gamma, a universal power law for the dynamics is obtained.