You could not fault the effort of the Glasgow pack but over-eagerness meant giving away penalties, where Exeter were both relentless and ruthless.
Six tries told the story of near constant pressure, too many penalties, three of the tries coming directly or indirectly from five yard lineouts while the backs got in the act with another three.
Scotland internationals Jonny Gray and Stuart Hogg were among those on the scoresheet with two others, Sam Skinner and Sam Hidalgo-Clyne, playing well.
Glasgow’s next opponents Lyon got off to flying start against Gloucester so things will not get much easier for head coach Danny Wilson and his team.
“It was very disappointing,” he admitted. “There have been a few of them lately which have been frustrating.
“In the first half we gave away 10 penalties in the first 30 minutes against a team you are trying to keep out of your 22 because you kill yourself if you do that, as we did today.
“We had 37% territory and you are not going to challenge the European champions with 37% territory, along with the penalties we gave away. Not scoring a point today makes it particularly painful.”
Glasgow were forced into a late change with flanker Tim Gordon’s withdrawal forcing a re-jigging of the back row with Kiran McDonald coming in to provide extra ballast.
Exeter are mighty hard to keep stopping. The third lineout drive saw No 8 Sam Simmonds go over, converted by brother Joe.
A few minutes later and Exeter had worked their way back to the Glasgow line for another series of forward drives.
When the try came there as a familiar face attached. A few months ago Gray was part of Glasgow efforts to stop Exeter in Europe, but following his move South the Scotland lock was the scorer against his former team.
Glasgow conceded a try straight after the break with another familiar face doing the scoring. Wing Olly Woodburn made the line-break and threw the pass out wide to Hogg for the full back to race over.
Exeter soon claimed the bonus point, back to the familiar territory of the lineout close to the line but with the unfamiliar source of a Glasgow throw sailing over the jumpers and into the arms of Exeter hooker Jack Yeandle.
Just past the hour mark and wing Olly Woodburn was first to a kick through by centre Ollie Devoto for the fifth try.
There was still time for Exeter after the 80 minutes had passed. A back move bringing blindside wing Tom O’Flaherty through the middle took them to the try line, lock Jonny Hill trundling the last few feet, Simmonds again converting for a perfect six out of six.
Scorers: Exeter: Tries – S Simmonds, Gray, Hogg, Yeandle, Woodburn, Hill. Cons – J Simmonds (6).
Exeter: S Hogg; O Woodburn, H Slade, O Devoto, T O'Flaherty; J Simmonds, J Maunder; A Hepburn, J Yeandle (c), H Williams, J Gray, S Skinner, D Ewers, J Kirsten, S Simmonds
Reps: L Cowan-Dickie for Yeandle 56, B Moon for Hepburn 56, M Street for Williams 56, J Hill for Skinner 61, R Capstick for Ewers 65, S Hidalgo-Clyne for Maunder 54, H Skinner for Hogg 65, I Whitten for Slade 61.
Glasgow: G Bryce; T Seymour, N Grigg, S Johnson, L Jones; P Horne, A Price; O Kebble, G Turner, Z Fagerson, R Harley, S Cummings, K McDonald, M Fagerson, R Wilson (Capt).
Reps: G Stewart for Turner 37, A Seiuli for Kebble 54, E Pieretto for Z Fagerson 67, H Bain for Harley 75, Ioane for Wilson 64, J Dobie for Price 60, B Thomson for Horne 35, H Jones for L Jones 54, L Jones for Seymour 75.
Referee: M Raynal (FFR).