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We address a recent conjecture according to which the relaxation time $\tau$of a viscous liquid obeys density scaling ($\tau=F(\rho^\gamma/T)$ where $\rho$is density) if the liquid is ``strongly correlating,'' i.e., has almost 100%correlation between equilibrium virial and potential-energy fluctuations[Pedersen {\it et al.}, PRL {\bf 100}, 011201 (2008)]. Computer simulations oftwo model liquids - an asymmetric dumbbell model and the Lewis-Wahnstr\"om OTPmodel - confirm the conjecture and demonstrate that the scaling exponent$\gamma$ can be accurately predicted from equilibrium fluctuations.

Density scaling as a property of strongly correlating viscous liquids