Final answer:
The Maurya Empire's expansion led to significant cultural and religious changes, most notably the spread of Buddhism across Asia during Ashoka the Great's reign.
Step-by-step explanation:
One significant effect of the extension of the Maurya Empire around 260 BC was the spread of Buddhism. Under the rule of Emperor Ashoka the Great, who converted to Buddhism after the battle of Kalinga, efforts were made to promote peace and non-violence across the empire. Ashoka's rule not only featured a series of reforms that improved the welfare of his subjects such as creating hospitals and schools, but also included extensive missionary activities that facilitated the spread of Buddhism into other parts of Asia, significantly shaping the religious landscape, which is evident in areas like Sri Lanka where Buddhism still prevails today. The Mauryan Empire's prosperity and stability under Ashoka's reign facilitated the broad adoption of Buddhist philosophies and ethics.