Looking to beat their own record of seven straight wins from the season's outset, they emphasised their current superiority in German football with Mario Mandzukic and Luiz Gustavo giving them a two-goal advantage at half-time.
Thomas Muller added two more for the record German champions and Rafinha rounded off the comprehensive victory in the 87th minute of a one-sided game.
Defending champions Borussia Dortmund slipped further behind rampant Bayern after they were stunned 2-1 by Schalke in the Revier derby.
Ibrahim Afellay and Marco Hoger scored the goals for Huub Stevens' side, who emerged triumphant in the 141st derby encounter between the two sides, with Poland striker Robert Lewandowski's effort proving scant consolation.
Fourth-placed Dortmund are now 12 points adrift of Bayern as well as five behind Schalke in third place and their grip on their title already appears to be slipping after just eight games.
Eintracht Frankfurt bounced back from their first defeat of the season to see off Hannover 3-1 and remain five points adrift of Bayern in second.
The hosts were defeated by Borussia Monchengladbach before the international break but looked firmly on course to return to winning ways after Karim Matmour and Sebastian Jung put them 2-0 ahead.
Although Mohammed Abdellaoue pulled a goal back for Hannover shortly before the break, Alexander Meier made the points safe for Eintracht with eight minutes to go.
Gonzalo Castro's 87th-minute strike rescued a 2-2 draw for Bayer Leverkusen at home to Mainz.
Stefan Kiessling put Leverkusen ahead just before half-time but Adam Szalai and Marcel Risse turned the game on its head before Castro struck late on to ensure the points were shared.
Daniel Caligiuri's strike five minutes before the interval and Julian Schuster's goal in the 84th-minute goal gave Freiburg their first win on the road at rock-bottom Wolfsburg, who suffered their fourth successive defeat.
In the late kick-off, Werder Bremen hammered Borussia Monchengladbach 4-0.
Nils Petersen broke the deadlock in the 37th minute before Marko Arnautovic doubled Bremen's lead on stroke of half-time, with Niclas Fullkrug scoring a minute after being introduced in the 75th minute and Zlatko Junuzovic completing the romp four minutes from time.
On Friday, Greuther Furth came from behind three times to grab a point at Hoffenheim in a dramatic 3-3 draw at the Rhein-Neckar Arena.
Roberto Firmino opened the scoring in the eighth minute, but Zoltan Stieber levelled before half time.
Joselu put Hoffenheim in front for the second time in the 67th minute, but Edgar Prib replied in the 84th minute before Joselu thought he had earned the home team all three points five minutes later.
However, Germany Under-21 international Lasse Sobiech equalised again with the last touch of the game as Furth picked up their fifth point of the season on their travels.
Bundesliga Saturday Results
Bundesliga Friday Result