Anthony Drmic scored 18 points and Derrick Marks had 14 as the Broncos made just five 3-pointers after averaging 8.2 per game coming in.
"I knew coming in here we would have to play an A-plus game, a perfect game," Boise State coach Leon Rice said. "We have to play the right way against them, and we slid away from that a little bit. ... We have to beat them with our ball movement and player movement. We got away from that just enough that we couldn't score."
Miffed at being beaten on the glass for the first time this season and wilting in the final 13 minutes against Baylor, the Wildcats got back on track by displaying more aggression and energy, just what they needed with another test looming on Saturday at No. 18 North Carolina.
Cauley-Stein was up to the challenge from the start, blocking five shots in the first half while debuting a new blonde hairdo. Calipari joked that with hair reminiscent of Hall of Famer Dennis Rodman, he had to come out and play with similar aggression.
The sophomore did that, but said his motivation to dye his hair had more to do with boredom than anything.
"You got to ball, and that's what he said today," Cauley-Stein joked.
Kentucky played hard throughout but began to take control late in the first half of an up-tempo game. That was necessary considering all of the offensive threats the Broncos of the Mountain West Conference posed.
Boise State returned its entire starting lineup from last year's NCAA tournament squad and entered with four of them averaging in double figures. The Broncos led 14-13 and stayed within reach of Kentucky before the Wildcats answered with improved intensity that helped them control the boards and the inside.
Young's 4-of-9 shooting from beyond the arc en route to 17 points in the first half provided a necessary boost offensively as Kentucky made 17 of 31 from the field (55 percent) in leading 41-31 at halftime.
Kentucky eventually widened it to 19 points with 8 1/2 minutes remaining as Boise State missed 19 of 23 shots, some of which were altered by Cauley-Stein and Randle.