To kill something using electricity. In common usage, the word is incorrectly used as a synonym to "shock," which means to apply electricity to. This usage being far-spread does not make it correct, however.
Incorrect: My science teacher electrocuted me when I entered the classroom. (Unless your science teacher is a murderer.)
Correct: The man, condemned for third degree manslaughter and arson, was electrocuted.
The ability of being cute enough to match up to Elektra's cuteness/amazingness, which is impossible for all except Elektra, but people can keep on trying I suppose.