Phil Foden scored his first goal at Etihad Stadium as a strong Manchester City side hit seven against Rotherham to reach the FA Cup fourth round.
Midfielder Foden, 18, made it 2-0 from the edge of the six-yard box after Raheem Sterling had opened the scoring from Kevin de Bruyne's pass.
Championship side Rotherham found it tough going and an own goal by Semi Ajayi made it 3-0 before half-time.
Gabriel Jesus, Riyad Mahrez, Nicolas Otamendi and Leroy Sane also scored.
It was another powerful attacking performance by Pep Guardiola's defending Premier League champions against a side who are 21st in the second tier.
The visitors did force goalkeeper Ederson into a fine save to deny Michael Smith in the closing stages but Rotherham remain without a win in the FA Cup since November 2013.
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