The best exotics in my opinion are:
Primary: Vex Mythoclast
-ignores majors penalties
-solar element
-pve/pvp tier 1
Secondary: Ice Breaker
-regens ammo
-solar element
-high impact
Heavy: Gjallarhorn
-maximum damage with wolfpack rounds
-7 rounds with heavy ammo perk
-solar element
-pve/pvp tier 1
Agree? I have three of each of these and usually have one of them equipped. This does not take into account a burn. I am on Xbox so I haven't tried any of the playstation exclusives.
Edit: Please post why if you disagree. I want to know what everyone else is using.
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Best primary is hawkmoon.