After a promising first half performance, the Gunners collapsed following Laurent Koscielny's sending off in the second half.
Arsenal's defence conceded five goals in 30 minutes as the Bundesliga side took full advantage of their superior numbers.
Alexis Sanchez snapped smirking during Arsenal's defeat to Bayern Munich
Tue, March 7, 2017
Alexis Sanchez appeared to be laughing after Arsenal lost 5-1 (10-2 agg) to Bayern Munich
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Alexis Sanchez appeared to laugh during Arsenal's 10-2 agg defeat to Bayern
It was the seventh consecutive season Arsenal had been dumped out of the Champions League in the round of 16.
And after the match, Bellerin admitted it 'hurt' to see fans leaving the stadium.
Arsenal defender Hector Bellerin
He told Arsenal.com: "I’m really hurt because to see the fans leave the stadium so early… At the end of the day we play for them, want them to be happy, to be behind us, and it hurts to see them leave so early.
"We just need to try to make them happy with the rest of our season. We know we’ve got the players and the potential to do well, we just need to play every game the same way that we started today.
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Arsenal's Hector Bellerin looks dejected
"If we play that kind of football, we can be up there.
"We have to say sorry to the fans because we want to do better than that."