Manuel Pellegrini's side followed on from impressive performances in the Champions League against Viktoria Plzen last week and in the Premier League over Manchester United on Sunday to ease into the fourth round of the league cup.
A brace from Stevan Jovetic - his first goals for the club - plus further efforts from Edin Dzeko, Yaya Toure and Jesus Navas allowed City to flex their muscle in a third-straight dominant showing within a week.
Elsewhere, Fulham came from behind to beat Everton 2-1 at Craven Cottage thanks to second-half goals from Dimitar Berbatov and Darren Bent whilst West Ham United, in manager Sam Allardyce's 100th match, squandered a two-goal lead before a late goal from Ricardo Vaz Te enabled them to beat Cardiff City 3-2.
Sunderland produced a 2-0 home win over Peterborough United in their first game after Paolo Di Canio's tenure, Chelsea accounted for Swindon Town 2-0 at the Country Ground as Hull City edged Huddersfield Town 1-0 in a dour affair at the KC Stadium.
Daniel Ings netted twice as Burnley came from behind to beat Nottingham Forest 2-1 at Turf Moor, Southampton defeated Bristol City 2-0, Leicester City's late show edged Derby County 2-1 and Norwich City needed an extra-time winner from Gary Hooper in order to beat Watford 3-2 after trailing by two goals with less than 15 minutes remaining.
Wednesday night's fixtures sees old enemies Manchester United and Liverpool clash at Old Trafford, West Bromwich Albion host Premier League leaders Arsenal, Leeds United travel to Newcastle United, Tranmere Rovers at home to Stoke City whilst 2011 winners Birmingham City host title holders Swansea City.
2013/14 Capital One Cup third round scores