Bhuvneshwar Kumar and Jasprit Bumrah gave away just four runs and removed the two openers in the first five overs.
A third-wicket partnership of 80 between Azam (47) and Shoaib Malik (43) could not put Pakistan on the path to recovery.
There was a bit of scare for India when all-rounder Hardik Pandya needed to be stretchered off the field after injuring his lower back while bowling the 18th over of the innings.
Jadhav also took three wickets for 23 in nine overs.
India's opening batsmen dazzled the sold-out crowd with their positive intent and a flurry of strokes.
India's reply was led by its rampant captain Rohit Sharma, who raced to 52 in just 39 balls.
Ambati Rayudu and Dinesh Karthik (both unbeaten on 31) then saw the defending champions home.