Hey Jack,
The normal external power supply that comes with the bass puts out approximately +/-18 volts (DC). The preamp board in the bass is quite flexible as it can also run on as little as +/-9V provided by the two onboard batteries. But as Flip said, the two batteries don't provide enough current to run LEDs if your bass has them.
If you wanted to make an all battery rig like Jason N had, you would use the 5-pin connector only and break out the cable to provide DC power in and audio out. Like this: Pin 1 = Ground (for audio and power "0"), Pin 2 = audio output from the neck pickup, Pin 3 = audio output from the bridge pickup, pin 4 = +18vdc, pin 5 = -18vdc.
If you really want to pursue that idea we can give you more details on putting it together. But in your case, if you only need to be wireless for a few songs per show, I think simply using the 1/4" output to the wireless pack would be the most logical approach. For fidelity alone I would recommend staying "wired" and using the stock power supply as much as possible.
Jimmy J