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Some abilities scale with attack power. These are generally damaging abilities, however there are exceptions. An attack power coefficient is a ratio representing the rate at which attack power is converted to bonus damage (or something else, such as [Anti-Magic Zone]'s damage prevention or [Shamanistic Rage]'s mana gain), for example an ability with an attack power coefficient of 20% would receive 1 bonus damage per 5 points of attack power.
Many paladin abilities receive bonus damage from both attack power and spell power. Additionally, the retribution talent [Sheath of Light] causes 30% of attack power to be gained as spell power, indirectly increasing the effectiveness of all spells.