Avenger, wielding a Fullblade. Level 2 character, 18 wisdom. No feats other than Power Attack and Proficiency: Fullblade. Attacking an enemy with an AC of 16, which is about standard issue at level 2. Attack deals 1[W]+Wis. Target is his oath target.
+8 v AC versus AC 16 means you hit on an 8+. That's a 65% chance per attack, and you get two attack rolls. So 87.75% chance of a hit. Chance of a critical hit is 9.75, which is part of that initial 87.75%. Average damage on a regular hit is 10.5, average damage on a critical hit is 22.5.
So we get,
.78*10.5 + .0975*22.5 = 10.38375
Lets add in Power Attack now, which changes the numbers to
.7*13.5 + .0975*25.5 = 11.93625
There you go.
I'm too lazy to do the math for everything else in the game, but generally speaking any character that is highly accurate but does relatively low damage per hit is going to see better results from Power Attack than you might expect. The same is true for characters who get multiple damage rolls.
I suspect that a Ranger might benefit from Power Attack, particularly when using Twin Strike, because they get two chances to apply the damage, a significant portion of their total damage is extra accurate (the quarry portion), and because the regular damage per individual hit with twin strike is low.
+8 v AC versus AC 16 means you hit on an 8+. That's a 65% chance per attack, and you get two attack rolls. So 87.75% chance of a hit. Chance of a critical hit is 9.75, which is part of that initial 87.75%. Average damage on a regular hit is 10.5, average damage on a critical hit is 22.5.
So we get,
.78*10.5 + .0975*22.5 = 10.38375
Lets add in Power Attack now, which changes the numbers to
.7*13.5 + .0975*25.5 = 11.93625
There you go.
I'm too lazy to do the math for everything else in the game, but generally speaking any character that is highly accurate but does relatively low damage per hit is going to see better results from Power Attack than you might expect. The same is true for characters who get multiple damage rolls.
I suspect that a Ranger might benefit from Power Attack, particularly when using Twin Strike, because they get two chances to apply the damage, a significant portion of their total damage is extra accurate (the quarry portion), and because the regular damage per individual hit with twin strike is low.