George Turner went over for a late consolation try

Nick Grigg's early try put Glasgow in front before Joe Simmonds' penalty and a Jonny Hill touchdown moved the Chiefs ahead in an intense opening to the game.

Two Adam Hastings penalties gave Glasgow a half-time lead, but Exeter dominated after the break.

Tries by Henry Slade, Sam Simmonds and Tom O'Flaherty carried them out of reach before George Turner's late consolation for the visitors.

Head Coach Dave Rennie said he was "disappointed but not dejected" after the defeat but warned Warriors now need to win their next two games to have any chance of qualifying from their Champions Cup group.

They face French side La Rochelle back-to-back in December.

"They (Exeter) won the kicking battle," said Rennie. "I thought they were good but we've got to be better.

"We made a couple of errors, we had trouble exiting, lost the kicking battle, I thought they kicked really well, trapped us down there and got rewarded for it," said Rennie, whose side had started with a 13-7 win over Sale Sharks.

"We put pressure on ourselves because we didn't kick well enough, we overplayed a handful of times where we've gone three, four or five phases and we haven't got what we wanted and it's actually OK to put it over the sideline and start again.

"It's something we need to be better in because we battled second half last week in the same situation."