The Rams (4-0) had more offensive rebounds (24) than Washington had total rebounds (21) as the frontcourt of Smith and Colton Iverson overpowered the Huskies (2-3).
C.J. Wilcox, with 28 points, was the only Washington player in double figures.
After a fairly even first half that saw neither team led by more than five points, the Rams took command with a 15-0 run to go on top 47-38 early in the second half.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.