This battle is fought with Galuf alone. It is scripted, so Galuf cannot die during the battle, even when his HP goes down to 0. It is impossible to lose unless the player intentionally makes Galuf zombify or petrify himself. The Blue Magic spell Self Destruct will also work to end the battle.
This battle is fairly tough, as Exdeath occasionally inflicts Condemn on a party member, giving them 30 seconds before death. Exdeath's Dynamo rearranges the party's row positions. Exdeath will use Firaga and Blizzaga in succession.
If Exdeath reverses the party's row with Dynamo it is best to switch back to the original rows. The strategy should also include Staves of Light so the party can cast Holy for over 2,000 damage for every staff the party has. If the player has not already obtained the staves, it is recommended to return to Ghido's Cave and steal a few from the Metamorphs; a tactic good especially for an underleveled party. It is good to have at least one Knight and have them use Rapid Fire if they have learned it, and equip them with the Blood Sword, and have them equip the Ice Shield, although if obtained, the Aegis Shield will do the trick as well.
Exdeath uses Blizzaga and Firaga in succession, but if the player has the Ice Shield (or Aegis Shield) his Firaga attack will be useless, as the character will have absorbed the Blizzaga attack. This means as much as 1,600 HP can be absorbed from Exdeath each round.