Unless you are talking about an extremely long run of power cable, or a cable with really bad quality wiring and/or construction, there should be no audible difference between a 3 foot and a 6 foot length.
Consider that the power coming from your wall socket has just completed a trip of hundreds, maybe even 1000 miles or more, and gone through how many switches, transformers, etc., and the distance from your outlet to your audio system pales in comparison.
Consider that the power coming from your wall socket has just completed a trip of hundreds, maybe even 1000 miles or more, and gone through how many switches, transformers, etc., and the distance from your outlet to your audio system pales in comparison.