Final answer:
Indian culture spread during the Gupta Empire chiefly through trade, religion, and literature, with lasting impacts on art, education, and religious practices.
Step-by-step explanation:
The Indian culture spread under the Gupta empire through various means such as trade, literature, and religion. Notably, trade with South Asia and beyond amplified the dissemination of Indian goods, cultural practices, and beliefs. During the Gupta period, dynamic cultural development took place with significant growth in the arts, literature, and religion. The iconic forms of Hindu deities, the institutionalization of Hinduism, and the creation of the Kama Sutra emerged during this era, affecting both the social and intellectual landscape. The esteemed Buddhist universities like Nalanda attracted international students, demonstrating the empire's educational reach. Furthermore, Hinduism and Buddhism's profound influence spread widely, carried by the extensive trade networks that connected India to various parts of Asia.