This victory was no more than a Sunday stroll in the sun for Rangers as Aberdeen offered little if any resistance.
The only surprise was the narrow margin of victory for the home team with only a Ronald de Boer goal and a Barry Ferguson penalty to show for their almost total domination.
Indeed it was hard to remember Rangers keeper Stefan Klos having anything to do other than clear pass-backs such was the toothless nature of the Aberdeen attack.
Aberdeen made their intentions clear from the kick-off with only the ineffective Laurnet D'Jaffo being left up front.
Early efforts by De Boer and Shota Arveladze were blocked. Peter Lovenkrands looked to have won a penalty after a challenge by Eric Deloumeaux, but amazingly referee Underhill booked the Gers player for diving when there looked to have been clear contact.
The Ibrox side then squandered a great chance when de Boer's inch-perfect pass released Kevin Muscat, but from his cross Fernando Ricksen spooned his shot over from close range.
The home team's constant pressure finally paid off when Lovenkrands cut between two Aberdeen defenders before Arveladze cleverly dummied the winger's cross, leaving de Boer with a simple tap-in from close range.
Lovenkrands then had a run and shot which was well saved by Peter Kjaer before Arveladze had a goal disallowed for offside after neat play between Ferguson and de Boer.
The pace of the match slowed even further at the start of the second half with the Gers guilty off too many passes without purpose.
The Aberdeen goal had a narrow escape when Jamie McAllister cleared off the line despite home claims for a penalty after Arveladze and Mikel Arteta went down under challenges.
De Boer wasted another good chance when he shot over from no more than eight yards before Rangers sealed the points.
Kjaer could only punch an Arteta ball high into the air before Kevin McNaughton appeared to handle the ball on the line in the ensuing scramble.
If it was perhaps a harsh decision on the Dons player who had already been booked, but Ferguson showed little sympathy as he stroked his penalty home into the corner of the net