Carter homered twice and drove in six runs, while Hicks fell a double shy of the cycle and knocked in five as the Triple-A River Cats routed the Albuquerque Isotopes, 16-5.
Carter's game represents his second multi-homer effort of the season, as he went deep three times and drove in five for Sacramento on April 22. His only game with a single longball came almost a week earlier on April 14.
The 25-year-old first baseman did all of his damage early, hitting a two-run homer in the first inning, an RBI single in the second and a three-run shot in the third. He did not record another hit in the game, though he did draw a walk in the fifth.
Hicks, meanwhile, finished the night with four hits -- a homer, a triple and two singles -- with each of them driving in at least one run. He last recorded that many base knocks on July 31, 2011, when he played for the Triple-A Gwinnett Braves.
No. 6 A's prospect Grant Green enjoyed a strong game out of the leadoff spot, collecting a triple, two singles and four runs scored. In 13 games this month, he is batting .385 with eight multi-hit efforts. The 24-year-old outfielder has posted a 1.053 OPS in May after he compiled a .674 mark in April.
Further down in the order, No. 7 prospect Derek Norris went 3-for-5 with a season-high four RBIs. After coming to Oakland in the trade that sent Gio Gonzalez to the Nationals, Norris is hitting .305 with four homers and 25 RBis through 34 Triple-A games.
Sacramento starter Brad Peacock (5-1), another player in that trade, earned the win after giving up five runs on seven hits over six innings. He struck out six and walked two.
Michael Antonini (1-2) suffered the loss, as he surrendered seven runs -- six earned -- on eight hits in just 1 1/3 innings.