A lethargic start saw the 'Cats take a 3-0 lead into the locker room, but Dexter exploded for 28 points in the third quarter to move to 7-1 on the season and get district play off to a 1-0 start.
Dexter allowed the Pirates to move nearly 60 yards on the game's opening drive, but David Hessling, Taylor Joyner and Logan Swindle combined to tackle Kris Cottner for a loss of six yard on fourth down to end the threat at the Bearcat 30-yard line.
The Bearcat offense then drove 58 yards in nine plays before stalling and settling for a 29-yard field goal by Swindle to take a 3-0 lead with 2:13 left in the first period.
From there, neither team was able to get much going offensively until the Pirates mounted a drive that put them at the Dexter 33 with just over a minute to play. On second-and-10, Swindle picked off a Ryan Lorenz pass, and the 'Cats were able to run out the clock clinging to the narrow lead.
Dexter came out firing on all cylinders in the second half as Chad Ventura took the kick back 21 yards to the 31, and Zach Ventura rumbled for five and 10 yards.
Stevens then found Drew Pixley on the left sideline for the spark that ignited the blowout.
Pixley hauled in the pass, juked a defender and the made his way all the way across the field before turning toward the goal and sprinting 53 yards to the Perryville 1.
Zach Ventura bulled his way in on the next play, and Brad Eubanks took an off-target snap and turned it into two points as he found Hessling in the back of the end zone for an 11-0 lead with 10:37 left in the third.
The Bearcat defense responded by holding Perryville (4-4, 0-1) to a three-
and-out that put Dexter in good field position. Taking over at the Pirate 40, the 'Cats needed just four plays and 1:32 to score again.
Stevens fired a pass to Swindle for 20 yards then hooked up with Swindle again for an eight-yard score with 7:12 left on the clock.
Despite the extra point being blocked, Dexter pushed its cushion to 17-0.
Once again, the defense stepped up and allowed the Pirates only three plays before the Dexter offense took over and put the game out of reach.
This time, the Bearcats needed only two plays to cover 67 yards as Stevens hit Chad Ventura for 29 yards down the left sideline before lobbing a perfect pass to Pixley for the final 38 yards and a 24-0 advantage.
After another three-and-out by Perryville, the 'Cats struck quickly.
Zach Ventura galloped 25 yards to set up a Stevens-to-Swindle touchdown that covered 35 yards.
In all, Dexter's scoring drives covered 294 yards on 22 plays and took a total of 9:19 off of the clock.
The four third-quarter drives took 13 plays and accounted for 236 yards (18.2 yards per play) and only used a combined 5:04 of game time.
The vaunted Bearcat defense lived up to its reputation as Perryville's only first down of the second half came on a pass interference penalty after the final score had been set.
Dexter picked off two passes on the night and limited Perryville to 93 total yards with none coming on the ground.
The Bearcats host the Kennett Indians Friday night as they try to move to 2-0 in Class 3, District 1 play.
Kennett suffered a 46-0 thrashing on the road by the New Madrid County Central Eagles, and are 1-6 on the year with an 0-1 record in district play.