Ice Power is a 2 BP badge accessible during Chapter 4 of Paper Mario
Increases attack power against fire enemies by 2. Mario won't take damage when he jumps on a fire enemy.
This badge is found in a chest in the pink station of Shy Guy's Toy Box.
True to its description, Mario can now deal 2 more damage to fiery enemies, as well as safely jump on them. Intrestingly, a weird quirk in the badge's code allows to bypass the normal 99-damage cap, and with enough charges, Mario will be able to deal 101 or 100 damage respectively (incorrectly marked as -1 and 0).