"But we will be guided by the bomb disposal team.
"Residents should be reassured that military, police and partners are working to maintain public safety."
They also added: "Exemptions in Covid-19 social distancing rules exist for matters of public safety such as this."
Following the explosion, the Devon and Cornwall police thanked residents for their cooperation.
Exeter ww2 bomb: Devon and Cornwall's police said they had a 400-metre cordon and closure of nearby roads in effect before the explosion. (Image: Devon and Cornwall police)
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They added: "The 400-metre cordon will remain in place tonight so residents must not return home.