The Potters took an early lead inside three minutes as Morgan Fox delivered a great ball from the left side and Powell ghosted into the box to head home.
Just ten minutes later and the hosts doubled their lead as a similar move saw Tom Lockyer glance the ball into his own net following another dangerous Fox cross.
The visitors had more of the ball throughout the game but were unable to seriously trouble Jack Bonham's net, as Nathan Jones' second tenure as Hatters boss looks to have come to an end with defeat.
The result leaves Stoke 15th on 25 points and Luton in ninth with 29 points.
Jack Bonham - 7/10
Sent a few wayward kicks upfield and looked slightly unnerved with high crosses, but a successful return to the team overall with a clean sheet.
Harry Clarke - 6/10
Clarke got down the right side well in an unfamiliar right-back role, he was caught out defensively at times as Morris and Adebayo soon realised their best option was to run at the Arsenal loanee.
Ben Wilmot - 7/10
Towering and calm on the ball as usual, Wilmot nullified any balls coming into the box.
Harry Souttar - 7/10
Won everything in the air on his first Stoke start in just over a year, cannot be understated how much City have missed his presence.
Morgan Fox - 8/10
Two brilliant assists in the first half as he was allowed to cross unmarked on both occasions. Solid showing once again as he also made a vital last-ditch block to deny Morris a chance in added time.
Lewis Baker - 7/10
The Potters captain was quiet but effective as he sat in front of the defence and dictated play. Set pieces left a lot to be desired.
Will Smallbone - 7/10
The midfielder put in a strong performance in a more defensive role and was able to set attackers on their way with quality passes in the second half.
Nick Powell - 7/10
He took his first goal in trademark style. Won headers for fun in the first half but had little effect as the game went on.
Tarique Fosu - 7/10
Got his side forward well and won some vital fouls. Had a few long-range efforts at goal, with varying success. City's most exciting and positive attacker.
Dwight Gayle - 7/10
He held the ball up and brought others into play well, shrugged off injury in first half to play his part as he pressed the Luton defence throughout.
Liam Delap - 7/10
Gave away silly fouls but showed encouraging signs as he had a goal-bound shot blocked and put himself about with bundles of energy. Nearly scored a brilliant long-range goal but Isted saved excellently.
Jacob Brown ('76 for Gayle) - 6/10
His first action was to get booked for a foul as Luton broke forward. Aided the defensive effort well.
Josh Tymon (86' for Powell) - 6/10
Put on to play higher up the pitch but was also key in snuffing out Luton attacks around the box.
Harry Isted - 6/10
Not much to do in the first half in his first appearance since April other than pick the ball out of the net twice. Brilliant save from Delap in the closing stages.
James Bree - 5/10
Allowed two crosses to come in from his opposite number which resulted in two early goals. Ineffective going forward. Dangerous corners put in came to nothing.
Tom Lockyer - 5/10
Unfortunate own goal and was booked in first half as he looked to be struggling playing in a two-man centre-back partnership. Had his side's best chance as he hit the post from close range after being unmarked from a corner.
Gabe Osho - 5/10
Also booked for a late challenge in first half, seemed to struggle with defensive positioning and the forceful nature of Powell and Delap.
Amari'i Bell - 5/10
Strayed forward far too often as he struggled to adapt to left-back role. Played up to Delap's tricks and at one point wrestled the on-loan Manchester City man to the floor.
Jordan Clark - 5/10
Gave the ball away at key times and was booked after Powell dispossessed him in his own half. First to be taken off.
Pelly Ruddock-Mpanzu - 5/10
The usually reliable midfield man lost the ball far too often and committed unneeded fouls as he cut a frustrated figure.
Allan Campbell - 6/10
Grew into the game but remained ineffective at creating clear cut chances for his attackers.
Harry Cornick - 5/10
Good touches but largely ineffective as lots of the attacking came down the other wing.
Carlton Morris - 6/10
Struggled to make any impact and fired a great chance at Bonham just after the half hour mark. Also booked for a late challenge.
Elijah Adebayo - 6/10
Held the ball up well and offered an outlet in the air, he was the Hatters’ key attacking force for most of the game. Tried a lot but not much came off.
Luke Berry ('69 for Clark) - 5/10
Tried to flick an effort towards goal but could get no contact on the ball. Made little difference to proceedings.
Alfie Doughty (78' for Cornick) - 5/10
Ineffective cameo as Jones looked to utilise his pace late on.
Cameron Jerome (78' for Osho) - 5/10
The former Stoke man put a late header wide from a corner.