A single watt is a single watt in AC or DC, you loose power when going from DC to AC and vice versa, you can not create energy, if you can get more wattage in AC then what you are supplying in DC, then you are breaking basic laws of physics and are not on the surface of earth any longer.
BTW, most car amps are sold with the MAXIMUM power rating listed, which is always at LEAST double the RMS rating, they can only push that maximum rating for a split second every once in awhile, running it at full power causes damage to the electrical components of the device, and other components of a car. I push 2KW RMS in my car, I have to have a 200 amp fuse minimum, if i was to use a 100 amp fuse, guess what, it would pop, or worst case catch fire, and I have over loaded wiring and fuses before to cause electrical fires to prove to friends you can't pull more then what a fuse and wire is meant to handle.
BTW, Soul, you can pull 6kw off a 12v car battery, as long as theres enough amperage, the wire is heavy enough and you have a large enough fuse, but don't expect it to last long, nor expect the alternator to charge it up.
BTW, house breakers don't measure the current, they trip when HOT, plug all those amps up, EVERYTHING on that breaker and take the load to double what it's rated, this requires all devices to put maximum load on the circuit, see what will happen to the breaker it will pop after a bit. The only purpose of a breaker is to PROTECT the wiring from getting so hot it will catch fire, but the wire WILL get hot, just not to the point it melts and catches fire in the wall.
Car fuses work the same way, but they melt when hot, they are designed to only with stand a certain temperature before melting, but if you get ENOUGH current flowing, it will jump the break and start a fire, this was always fun to do.