Power is an odd beast and is governed by I^2R .

In Series, I remains constant, but you break up your R (in series Resistance is addative), and therefore your voltage drop. You can arrive at the same result using Ohm's law, but it takes more steps; I think I^2 R is more illustrative. Just remember there is teh over all R and the individual Rs....

But the same applies in Parrallel (power-wise), but for different reasons. With parallel Resistance you need to work out the parrallel resistance formula, then ratio the current through the individual resistors, then apply I^2 R. For similarly sized components, each carries half the current.

Basically, In series, for similarly size resistors, each carries the same current, but has a lower voltage drop (each device has half the drop). Whereas in parallel, each device carries half the current, but at the same voltage drop.

That may seem confusing, but believe me, it's based on actual math. As my professors used to say: The proof is left as an exercise for the student!

Does this help?