Watts equals the relationship of volts and ohms. Volts squared divided by ohms equals watts. Neither can exist without the other. Watts equals the "power" or "work" being used or done.
In other words, if you use watts to adjust the power you are changing the voltage to get there, if you are using voltage, you are changing voltage to get the watts you want.
Play around with this calculator for a bit,
Ohm's Law Calculator start with 8 watts and 1.5 ohms then change it to 2.5 ohms at 8 watts and see how the voltage changes to achieve this. Also note how the amperage changes as well, this will determine how long your battery will last, less amps, longer battery life, to a point! But I've got you confused enough we don't need to get into the myth of VV and VW battery run times!