Putting in some hard work to break the ice, Ryan Lomberg followed up on a shot from Eric Staal and sent the rebound past Tristan Jarry to put the Panthers on top 1-0 at 5:30 of the first period.
Coming out hot, the Panthers played well enough to have more than just their lone goal heading into the first intermission as they led 8-4 in high-danger shot attempts after the first 20 minutes.
"They got in and got on the forecheck and had their game going," Panthers head coach Paul Maurice said of the line of Lomberg, Staal and Nick Cousins. "The first two shifts we had off the bench were not good. We were behind it, and then their line came out and got us right."
Tying things up for the Penguins early in the second period, Kris Letang took a pass from Bryan Rust and beat Sergei Bobrovsky on a 2-on-1 rush for a shorthanded goal to make it 1-1 at 4:17.
Earning a power play of their own, the Penguins then took the lead when Jake Guentzel stuck out his right skate to re-direct a shot from Evgeni Malkin into the cage to make it 2-1 at 12:42.
Standing on his head to keep the Panthers off the board, Jarry stopped all 18 shots he faced in the second period, including numerous high-danger chances from right around the blue paint.
Finding the back of the net again on the power play, the Penguins pushed their lead to 3-1 when Sidney Crosby fired a slap shot that went off Malkin, who was injured on the play, and into the cage at 8:05 of the third period.
Pittsburgh finished 2-for-3 on the power play, while Florida went 0-for-3.
"I think they definitely won that battle," Verhaeghe said when asked about special teams. "One shorthanded and [two] on the power play, and that was definitely the difference. At 5-on-5 I think we controlled a lot of the play, but it's special teams that wins and loses games in the NHL."
Getting that goal back quickly for the Panthers, Sam Reinhart teed up a cross-ice pass from Verhaeghe and unleashed a blistering one-timer past Jarry to cut the deficit to 3-2 at 10:13.