Very quickly.

AA 1 opponent wins ~85% of the time. [img]/images/graemlins/grin.gif[/img]
You raise. He calls.
.85*4bets = 3.4bets. [img]/images/graemlins/smirk.gif[/img]

AA against 9 opponents wins ~31% of the time. [img]/images/graemlins/blush.gif[/img]
You raise. 9 calls.
.31*20bets = 6.1bets. [img]/images/graemlins/grin.gif[/img][img]/images/graemlins/grin.gif[/img]

You don't want to knock anyone out. You want everyone in for the maximum number of bets.

You'll win less often but you'll win more when you do.

EDIT: Every hand is a drawing hand against AA Preflop. There's not too many flops that change this fact. It's not until the Turn and River that UI AA really starts to lose big value. You just have to learn when to let it go (something I struggle with every day).