I suppose a "simple" explanation for "powering out of Vortex Ring State" is that if you accept VR to be the state when RoD ~= Induced Flow,
and,
RoD less than Induced Flow or significantly greater than Induced Flow (so vortices are lifted above and clear of the disc) to not be states of VRS,
then
It is conceivable for the scenario where you are in VRS (or early stages there of) that if you have the power (and rpm and angle of attack (until blade stall)) margin then you could create the induced flow to the point where it is greater than your RoD and put you back on top of the vortices (as apposed to keeping you in them).
The disclaimer being there are a lot of "ifs" in the above statement.
The Wagtendonk book has a pretty good section on the physics of VRS, including an interesting graph (Figure 19-6) of Effect of Airspeed and RoD on conditions required for VRS.