How do you wire in a compact inverter?

You cant do that. Im pretty sure you cut the DC connector off that plugs into the cigarette light right, because that is a common mistake that people make. That part on the inverter sort of serves as a voltage regulator. You have to somehow attach the cigarette lighter plug back on to the power wires from the inverter other wise it wont work. Ones you have dont that the easiest way to wire it up. Do you see the two silver prongs that extrude from both sides of that plug. Those serve as the ground. so you can take a long peice ov wire and strip it enough to where the copper wraps all the way around both of them then use electrical tape to secure that on. Now at the top of that plug you see the round peice that extrudes from the top. that serves as you 12v positive wire. Same concept. Strip a wire and somehow get that wire down between the gap of the plastiv piece surrounding it and the round metal piece extruding thien wrap the rest around the piece of metal and secure it with electrical tape. Now those two wires are now you 12v and ground that you can wire up to you car. If that doesnt register with you you can search online and they have female adpter where that can plug into it but there is bare wire on the other side. That may be a little easier for you.