Final answer:
The Mughal Empire expanded through military tactics, administrative reforms, and cultural integration.
Step-by-step explanation:
The Mughal Empire expanded to reach their height of power through a combination of military prowess, strategic alliances, and effective governance. The empire was initially established by Babur, who used guns and a rapidly moving cavalry to conquer territories in India.
Babur's successors, such as Akbar the Great, further expanded the empire by implementing administrative reforms, religious tolerance, and cultural integration. Additionally, the decline of the Sultanate of Delhi and the weakening of rival kingdoms allowed the Mughals to consolidate their power and extend their influence throughout the Indian subcontinent.