I have a Markbass Blackline head, which sometimes doubles as a power amp for a small PA. I had to set up a little PA for my partner outdoors, and was proposing to use a 300W battery pack/inverter she has. Fortunately I tested beforehand, and the Markbass simply refused to turn on. Being naive in these things I was expecting not to be able to turn it up. I had to use a 1W guitar amp to drive my PA speakers! Funnily enough they survived being so grossly underpowered [grin].
I've since been looking around for a little PA amp which will run off the power pack, and its surprising how many don't seem to mention power consumption, so I've just ordered something very low powered and hope it will work. Although, all else being equal, one would hope the lower the amp power the lower the power requirement, in fact my understanding is that different amp designs have wildly different power requirements. Modern Class D are I understand by far the most efficient in terms of power in against power out, and Class A the least efficient. I don't know if one can construct a vague rule of thumb for max required power for different styles of amplifier, or whether tubes are inherently more or less efficient than solid state. I vaguely gather that many or most class D amps are based on a limited range of power modules, in which case one might suspect they will all be much the same. Cue @agedhorse ?
Jim C