Redpath had criticised his side following the Leeds defeat but was quick to shower them with the appropriate praise after a five try salvo secured the points.
"We were far more decisive, far more threatening. We controlled certain parts of the game a lot better and our urgency was right up there where it should be."
"We knew it would be a difficult game against Exeter and I thought we put them under a lot of pressure on numerous occasions."
"Credit to the players who had been criticised, rightly so, for most of the last week. I was delighted with the way they reacted today."
Gloucester's back line pounced for two long range tries in the first half and followed up with two more after the break but Redpath acknowledged that the hard work had been done up front by the pack.
"The game starts there and generally finishes there. Like last week, I thought the forwards produced a lot of possession and there were some strong performances from some of them today."
"Will James and Hazell again and Buxton again put in a workmanlike performance. As did Paul Doran-Jones. In fact they all did."
"I think the backs needed to step up and redeem some of the poor efforts from last week. And they did. You've got to take opportunities. They can come and go. 70 metre tries come along occasionally as they did today for Rory. I thought Sinbad set it off really well along with Eli and Tins."
Gloucester had entered the Exeter game with the best defensive record in the Aviva Premiership but hadn't scored a try scoring bonus point before Saturday. This was duly rectified and it was down to his side's ability to adapt according to Redpath.
"You've got to play what's in front of you sometimes and it's very easy to play to script. But you've got to have some ambition and courage to play what's in front of you. That highlights your individual skill level where we were a little bit better today than we have been."
"You have to be able to adapt. You can analyse all week but you need to adapt to what the opposition do and have the ambition and structure to do that. We took our opportunities which I was happy with."
"Defensively, I was disappointed. We gave up a couple of soft tries which is something we need to brush up on. I'm sure they would say the exact same. But, it's all about winning and we won well and I'm delighted with the players."
Gloucester have been guilty of allowing teams back into games this season but kept their collective feet on the accelerator this time around.
"It was really important we stuck to it and we got some belief out of it. Hopefully we can go on and realise that hard work only allows opportunities and we worked hard today from 1 to 15 and the subs that came on also worked hard."
"It's a long, tough old season and the New Year is off to a start and we must push on."
The win moved Gloucester up a crucial place in the table and there is still plenty to play for as they are now within breathing distance of Wasps and Harlequins with games in hand.
"We're sixth at the moment with two games in hand. The Premiership will come back in the next couple of months and we'll see where we end up."
"We've always said that we want to be in the Heineken Cup and, to do that, you must finish in the top 6. That's the challenge for us. We have to be critical and honest and see what comes."