to elaborate, power consumed in a clocked chip is proportional to CV²f (simplistic approximation). C is the capacitance, which we will assume is constant for simplicity. V is the voltage and f is the frequency. This formula seems to break down after about the 2.5-3GHz range in current chips, where the power seems to increase exponentially with frequency increases and proportional to V³.

I promoted myself. Special association with this forum is not good for my credibility in good forums where i'm a member. Let's leave it at that.