The Seasiders applied early pressure onto the visitors, with their first clear opening coming in the fifth minute.
A ball over the top from Reuell Walters found CJ Hamilton through in space, but the winger took a touch too many and couldn’t find a way past Jack Bycroft.
The next chance came moments after, with Ashley Fletcher seeing a shot vitally blocked in front of goal, before Joel Randall fired the rebound wide of the target from close-range.
It was a similar story for James Husband and Fraser Horsfall - who both placed a shots over the crossbar inside the box.
The deadlock was eventually broken ahead of the half hour mark, with Bloxham beating Bycroft to the ball just inside the area, before lifting a half volley over the Grecians keeper.
Exeter’s first real chance came just before break. An attempt from Jayden Wareham needed pushing over the bar by Bailey Peacock-Farrell - who reacted quickly after being untested for so long.
Following the restart, the Northern Ireland international made another important stop, blocking a flicked attempt from Jack Aitchison.
Ahead of the hour mark, there was a triple chance for Blackpool, with Hamilton having a shot saved, Jordan Brown having one blocked, and Hayden Coulson firing the third rebound just over.
Here’s how the Seasiders performed:
13. SUB: Leighton Clarkson -
Leighton Clarkson was introduced for the final half an hour. Photo: Gareth Evans
14. SUB: Dale Taylor - 6
Dale Taylor came on for the closing stages as he rebuilds his fitness. Photo: Gareth Evans
15. SUB: Karoy Anderson - 7
Karoy Anderson added extra stability to the midfield in the closing stages. Photo: Gareth Evans
16. SUB: Olly Casey - N/A
Olly Casey was brought on for stoppage time. Photo: Gareth Evans