Quote Originally Posted by alias2211
In the first one, it looks like you're first to act and headsup. I actually like to bet these flops hard, hard enough to rep AJ-AK. This will put Ax on the defensive: they either fold right there, reraise to see if you really have top kicker or will go into calldown mode, spreading out the cost of the bet over 3 rounds and not just one.
Keep two things in mind here:

1. Opponent led out for a raise UTG and then called a ginormous re-raise from Smackin. He isn't that likely to have Ax. If he has an ace, it's paired up with a king, a queen, or another ace - maybe a suited jack if he's a real monkey. If he doesn't have an ace, he has a pocket pair lower than kings, and unless he made a set, he's probably folding to any respectable bet Smackin throws out. So ideally, you want the lowest bet that the opponent will still respect as representing the ace.

2. Opponent called a ginormous re-raise from Smackin. I mention that again because it's one tiny window of information: the guy doesn't let go of hands easily. Basically, unless he has AA or KK, he probably shouldn't have called that re-raise, because the implied odds are now bad (the raise constituted over 1/4 of his stack) and he's probably behind if he has jacks or queens or whatever. So betting hard on the flop may not be the right approach, because this guy is so likely to call. Again I think you want to get your information cheaper than that. If he's a moron with AQ or AJ or something, he's probably not getting out of this hand now that he hit his ace. But if he has queens or jacks, he may hate that ace and finally wake up and realize he's losing.