A typical hairdryer is about 1KW, it runs for a few minutes at most, similar to an electric kettle. AC units for domestic (normal sized houses) are from 2 to 5 KW, actual use depends on the temperature differential, humidity, the size of the house and any leakage.

Recharging a drained car battery would use as much power as running a large AC unit for 15 hours, but if the car has driven only a small distance it will use much less power. It all depends on the distance the car needs to drive (logically...).