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<blockquote data-quote="DracoSuave" data-source="post: 4413327" data-attributes="member: 71571">If the opponent's defense against your attack is less than:19 + your bonus to hit that enemy - (twice the average damage of the attack divided by the bonus damage you get from Power attack)Then using Power Attack is optimal.&nbsp; Otherwise, do not use Power Attack.With one handed weapons:D &lt; 19 + A - xWith two handed weapons:D &lt; 19 + A - 2x/3Where D is the defense of the opponent, A is the attack bonus with the attack before Power Attacking, and x is the average damage the attack does on a normal, non-critical hit.Critical hit damage factors out of the inequation, and it is irrelevent to Power Attack's efficacy.MATH FOLLOWSThis uses my ED20 calculation system for mean damage for 20 attacks.r is number of outcomes on a d20 that register hits.x is the mean damage from the dice of a normal hit.b is the static bonus damage.k is the number of outcomes on a d20 that register critical hits.c is the maximum damage of the dice from a critical hitd is the mean damage from the bonus dice from a critical hit.(r)(x+b)+(k)(c-x+d) &lt; (r-2)(x+b+n)+(k)(c-x+d)[subtract k(c-x+d) from both sides]rx+rb &lt; rx+rb+rn-2(x+b)+2n0 &lt; rn-2(x+b)-2n2(x+b)+2n &lt; rn(2x+2b)/n + 2 &lt; r(2x+2b)/n + 2 &lt; 21-R&nbsp; (R is the number you need to roll on the die to hit)R &lt; 19-(2x+2b)/nD-A &lt; 19-(2x+2b)/n&nbsp; (D is the defense, A is the attack bonus)D &lt; 19+A-2d/n&nbsp; (d is the mean damage for the attack, including bonus to damage)Why do I use a system based on damage over 20 hits and not DPR?&nbsp; Because damage over 20 hits makes for simpler more elegant math using concepts people actually -game- with.&nbsp; Numbers to hit targets.&nbsp; Damage die rolls.&nbsp; Bonus damage.&nbsp; Critical hit damage... it's all added up.&nbsp; If you want to find the mean DPR for an attack calculated by the ED20 (Expected Damage over 20) formulae, you just divide by 20.&nbsp; But for most comparisons, ED20 works better, and allows for the derivation of formulas where you plug in the numbers, and blammo, get an answer for when something is favorable.</blockquote>

[QUOTE="DracoSuave, post: 4413327, member: 71571"] If the opponent's defense against your attack is less than: 19 + your bonus to hit that enemy - (twice the average damage of the attack divided by the bonus damage you get from Power attack) Then using Power Attack is optimal. Otherwise, do not use Power Attack. With one handed weapons: D < 19 + A - x With two handed weapons: D < 19 + A - 2x/3 Where D is the defense of the opponent, A is the attack bonus with the attack before Power Attacking, and x is the average damage the attack does on a normal, non-critical hit. Critical hit damage factors out of the inequation, and it is irrelevent to Power Attack's efficacy. MATH FOLLOWS This uses my ED20 calculation system for mean damage for 20 attacks. r is number of outcomes on a d20 that register hits. x is the mean damage from the dice of a normal hit. b is the static bonus damage. k is the number of outcomes on a d20 that register critical hits. c is the maximum damage of the dice from a critical hit d is the mean damage from the bonus dice from a critical hit. (r)(x+b)+(k)(c-x+d) < (r-2)(x+b+n)+(k)(c-x+d) [subtract k(c-x+d) from both sides] rx+rb < rx+rb+rn-2(x+b)+2n 0 < rn-2(x+b)-2n 2(x+b)+2n < rn (2x+2b)/n + 2 < r (2x+2b)/n + 2 < 21-R (R is the number you need to roll on the die to hit) R < 19-(2x+2b)/n D-A < 19-(2x+2b)/n (D is the defense, A is the attack bonus) D < 19+A-2d/n (d is the mean damage for the attack, including bonus to damage) Why do I use a system based on damage over 20 hits and not DPR? Because damage over 20 hits makes for simpler more elegant math using concepts people actually -game- with. Numbers to hit targets. Damage die rolls. Bonus damage. Critical hit damage... it's all added up. If you want to find the mean DPR for an attack calculated by the ED20 (Expected Damage over 20) formulae, you just divide by 20. But for most comparisons, ED20 works better, and allows for the derivation of formulas where you plug in the numbers, and blammo, get an answer for when something is favorable. [/QUOTE]

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