Final answer:
Akbar's style of rule in the Mughal Empire emphasized religious tolerance and the creation of a hybrid Indo-Islamic culture, while Isma'il of the Safavid Dynasty enforced strict Shi'ite Islam and aimed to establish a Shi'ite homeland.
Step-by-step explanation:
Akbar's style of rule, as the leader of the Mughal Empire, differed from Isma'il's of the Safavid Dynasty in several ways. First, Akbar followed a policy of religious tolerance and promoted a hybrid Indo-Islamic culture by actively incorporating elements from Hinduism, Islam, and other religions into his administration. He abolished the jizya tax on non-Muslims and established a new religion called Din-i-Ilahi that blended various beliefs.
On the other hand, Isma'il of the Safavid Dynasty enforced strict Shi'ite Islam as the state religion and persecuted Sunni Muslims. The Safavids aimed to create a Shi'ite homeland and were surrounded by Sunni Islamic powers, leading to frequent conflicts and religious-driven wars.