Home Postcode finder TAS Exeter Exeter postcode TAS Exeter is a locality in Tasmania covered by postcode 7275. Postcode 7275 State or territory Tasmania (TAS) Region Tasmania Add a free Exeter business listing More business listings in Exeter Businesses in ExeterExeter High School28-38 Glen-Ard-Mohr Rd · 03 63944366Exeter Primary SchoolGlen-Ard-Mohr Rd · 03 63944700 Common questionsWhat is the postcode for Exeter?Exeter, TAS has the postcode 7275.What state is Exeter in?Exeter is in Tasmania (TAS).Does postcode 7275 cover more than one suburb?Yes. Postcode 7275 covers 12 localities, so the postcode alone does not identify Exeter. Browse other postcodes in Tasmania, or widen the search to every Australian postcode.