You kinda have it messed up... but I'm assuming those are all typos..
Anyways..
Ohms law: P(power/wattage) = U(voltage) x I(current) and U=IxR(resistance)
if you play with that equation you will get through all other forms.. like P=U*U / R and stuff...
So basically what you were trying to say is..
Voltage and resistance define your wattage as long as the power source can keep up with the current required.
If you lower the volts you cannot get the same wattage unless you lower the resistance as well.. (voltage is what PUSHES the current, resistance is what's trying to STOP it.. with both lowered you will be able to get the same power, but with more current flowing through the circuit...eg. higher amps)
Fewer volts needed DOES NOT equal longer battery life... Fewer AMPS needed equals longer battery life..
I'm sorry sir

almost every statement you made was flawed, but I do understand.. since people just go on the internet and learn stuff from improper sources.. That's why I mention disliking Rip Trippers in every other post I make.. I mean I do like him, I watch him.. but I consider it more like a show rather than a source of useful information..
And so far we've only been talking about ohm's law.. which barely even scratches the surface.. Reality is much more complicated as you can achieve said resistances with a number of different alloys.. wire thicknesses and so on.. which all heat up differently.. There is no use having a big chunk of metal in your atomizer if it takes 5 seconds for it to heat up... You can throw a hundred watts at it.. and 70% of that power will be used to heat the inside of the metal chunk.. rather the juice on the wicks.. that's why I said you should be looking for heat flux and not the actual resistance value.. so yea.. it's not that complicated.. but it's not that simple either

That's why I said we should not off-topic everywhere and just take it to a pm or something.. I'd be glad to help out if needed..
Cheers!