Actually, the proper term is "core", so ferrite cores, not beads

They filter very high frequencies, hence their typical application in computer and data trasfer -related peripherals. AC is either 50 or 60 Hz, depending on location, so a ferrite core in such an application will not make any difference.
Keep in mind though, even applications where ferrite cores can be useful, like the aforementioned data transmission, their effect is very limited and if a system depends only the ferrite core doing its job, it is more likely that it will not work than that it will. I am talking about industrial applications and electrically and/or magnetically harsh environments that most certainly do not include typical households.
Because you mentioned your power cable has a ferrite core installed on it, my guess is that you probably spent already too much money on the power cable. There are better place to spend your money with far more noticeable return on your investment.
Cheers!