  A large class of liquids have hidden scale invariance characterized by a
scaling exponent. In this letter we present experimental evidence that the
scaling exponent of liquid dynamics is state-point dependent for the
glass-forming silicone oil tetramethyl-tetraphenyl-trisiloxane (DC704) and
5-polyphenyl ether (5PPE). From dynamic and thermodynamic properties at
equilibrium, we use a method to estimate the value of $\gamma$ at any state
point of the pressure-temperature plane, both in the supercooled and normal
liquid regimes. We find agreement between the average exponents and the value
obtained by superposition of relaxation times over a large range of
state-points. We confirm the state-point dependence of $\gamma$ by reanalyzing
data of 20 metallic liquids and two model liquids.
