Complex sentence: The Qing Dynasty conquered this largely Muslim region in the 1750s by defeating the Mongols and the Uyghurs in a series of battles with their superior weaponry but ruled the local population with a light hand.
Split into simpler sentences: The Qing Dynasty conquered this largely Muslim region in the 1750s by defeating the Mongols and the Uyghurs with their superior weaponry in a series of battles. As conquerors, they ruled the local population with a light hand.