Tries from Ken Pisi, Soane Tonga'uiha and Gerrit-Jan van Velze steered the visitors to victory, with Stephen Myler kicking three conversions and three penalties.
Sireli Naqelevuki scored a second-half try for Exeter, who either side of Christmas narrowly lost at Gloucester and were then denied a home victory over Bath by a late converted penalty try, with Ignacio Mieres adding the extras and Gareth Steenson contributing 12 points.

