It took almost 70 minutes for the European champions to break the resistance of Nuremberg - Bayern celebrated in front of their fans with 2:0, with goals from Arjen Robben and Franck Ribery.
It was the third victory for Pep Guardiola's men in as many games, which saw the Munich side join Borussia Dortmund, Bayer Leverkusen and Mainz in first place, who are also on top form.
Bayern broke Nuremberg's resistance for a long time, missed a penalty in the 33rd minute (Nuremberg goalkeeper Alabi Šefer caught a "live ball"), but Ribery headed the visitors in the 69th minute, after Lam's cross.
Robben put the dot on the "i" after a solo breakthrough in the 78th minute.
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