Barbarian Rage grants resistance to bludgeoning, piercing, and slashing damage. On the other hand, Uncanny Dodge allows you to halve any single attack using your reaction.
In the case of a multiclassed character, do they stack?
[RPG] Do Rage and Uncanny Dodge stack
barbariandnd-5erogue
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Best Answer
They do stack
There is nothing limiting you from taking 1/4th the damage of any attack given the right circumstances. For instance, if you have resistance to fire damage and you have a dexterity saving throw success against a fireball, you take half damage from the it and another half of that due to resistance, netting you 1/4th damage.
So yes, you can halve the incoming damage, which would then be halved again by resistance.
You could, in theory, continue to halve the damage forever as long as you can create the circumstances to allow that math to take place, since there is no rule for minimum damage, percentage or otherwise.