Hundley completed 31-of-41 passes without an interception, recording the third-highest passing total in a game in school history as the Bruins (5-0, 2-0 Pac-12) cruised to a fifth straight victory.
Devin Fuller and Shaquelle Evans each made six grabs with a touchdown, combining for 166 yards for UCLA.
Thomas Duarte caught three passes for 76 yards with a score for the Bruins, who now go on to face ranked opponents Stanford and Oregon in their next two games.
Jared Goff was limited to 215 passing yards on 26-of-43 efficiency and was picked off once for the Golden Bears (1-5, 0-3).
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