This is the 3112th most frequent Turkish word.
bırakarak
"By leaving" or "by letting go."
The word 'bırakarak' indicates the act of leaving the books by putting them on the table as an action before exiting.
Kitaplarını masanın üzerine bırakarak dışarı çıktı.
She left her books on the table and went outside.
The word 'bırakarak' here describes the act of returning the pen as a preparatory or preceding action to engaging in listening.
Kalemi yerine bırakarak öğretmenin söylediklerini dinlemeye başladı.
He started listening to the teacher after putting the pen back to its original place.
The term 'bırakarak' refers to the act of putting the phone down on the table, denoting the transition to focusing on her lesson.