In Devon, Wrexham had the lead against Exeter within 23 minutes, as Ollie Rathbone's shot found the back of the net via a deflection in the area.
The goal came after Sam Smith thought he had opened the scoring, only to see the offside flag raised.
In the second half, Wrexham doubled their lead on the hour; after Jay Rodriguez was fouled in the area, the former Southampton striker stepped up to score from 12 yards.
The Welsh side pressed for more, but they were held back by a determined Exeter backline.
Phil Parkinson's side now sit nine points behind leaders Birmingham, but the Blues have two games in hand, and are almost certain to win the title, barring a spectacular collapse. Perhaps more encouraging is the fact that Wrexham are now three points clear of third-placed Wycombe Wanderers, although they have a game in hand on the Red Dragons.