I'm a bit out of my depth here,what computer? If it's a iMac or Mac Pro a power cut will likely just kill the computer,now whether the Pram battery will enable a write to disk and a deep sleep state I don't know.Obviously a battery powered Mac will act differently.After an uncontrolled shut down it's as well to do a disk repair and then repair permissions,in case something got corrupted as a result of files being written to when a sudden loss of power occurs.
(actual the answer to this may be, was your computer in regular sleep mode when the power cut occurred? because in sleep mode it keeps the Ram loaded but also writes it to the hard drive for the very reason that if a power failure occurs while in sleep mode it can still recover because there is a copy on the hard drive.Hence on a restart it will automatically come out of deep sleep ).