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So if the Underground Chemist takes the Bomber rogue talent in the Ranged Tactics Toolbox, can they apply Sneak Attack Damage on Bombs since the bombs use Sneak Attack damage?
Here are the relevant rules:
Precise Splash Weapons (Ex): At 4th level, an underground chemist can deal sneak attack damage with splash weapons. The attack must be her first attack that round, qualify for dealing sneak attack damage (such as against a flat-footed target), and be directed at a creature rather than a square. This ability replaces the rogue talent gained at 4th level.
Bomber (Su): A rogue with this talent can make a number of bombs per day equal to her Intelligence modifier (minimum 1). These bombs act as alchemist’s bombs (Pathfinder RPG Advanced Player’s Guide 28), except they deal damage equal to the damage dealt by the rogue’s sneak attack (the rogue doesn’t add her Intelligence modifier to this damage).
The bombs don't do sneak attack damage. The do damage equal to the sneak attack.
So if you have a 3d6 sneak attack, your bomb does 3d6 fire damage. It is a splash weapon, so if you manage to get the sneak attack off, your attack will do 3d6 fire + 3d6 sneak attack.