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Slaying Levels are a PvE-only damage amplification that only applies to damage dealt to mobs. It applies to normal attacks, skills, and genie skills. At near 0 slaying level, every additional slaying level adds about 1% more damage but slaying levels suffer some from diminishing returns. At 60 slaying level (as found on G15 morai weapons) you only have +50% damage amplification.

Slaying Damage Amplification = 3 * Slaying Level / ( 300 + Slaying Level )
damage dealt = raw damage dealt * ( 1 + Slaying Damage Amplification )

Warding Levels are a PvE damage reduction that only applies to damage players take from mobs. Warding Levels are found mainly from on the new G12, G13, and G15 armor found in Morai. The effectiveness of warding level damage reduction depends on the level of the mob.

Warding Damage Reduction = Warding Level / ( Enemy Level + Warding Level )
damage received = raw damage received * ( 1 - Warding Damage Reduction )

These are totally separate forms of amplification and reduction that multiply with all other forms of amplification and reduction.

For example if you get +40% damage from slaying level and +30% damage from attack level, in total you will have a combined effect of +82% damage since 1.4*1.3 = 1.82.