Davis blocked seven shots, setting a single-season Kentucky record with 87 blocks in his freshman season.
Mardracus Wade and Marvell Waithe tallied 12 points apiece for the Razorbacks (13-5, 2-2).
Kentucky won the rebounding battle 38-23 and shot 57.1 percent from the field to Arkansas' 40.4 percent.
Kentucky led 37-21 at halftime and then put together a 9-point surge that included two big dunks by Davis early in the second half to extend the lead to 70-42.
Celebrity Families of 2014 [PHOTOS]