Scott Mellanby set up a wide-open Niedermayer in the slot. His wrist shot cleanly beat Tampa Bay goaltender Corey Schwab for his 17th goal at 3:18 of the second period. Bill Lindsay also received an assist, the 100th of his career.
Burke is 4-0 against Tampa Bay this season, allowing just three goals.
The Lightning, 1-9 against Southeast Division opponents, concluded a five-game road swing with a 2-3 record.
The Panthers, 3-1-1 since blowing a five-goal lead to Colorado on March 3, dominated the first period with a 16-3 shot advantage. Schwab made several sterling stops to preserve a scoreless opening period. He finished with 32 saves.
Florida entered the game trailing Boston by three points for the eighth and final playoff spot in the Eastern Conference.
The Panthers begin a three-game west coast road trip on Wednesday, but are taking a three-day side trip to Las Vegas for some rest and relaxation beginning Sunday.
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