Final answer:
The Inca conquered other civilizations by incorporating their cultures and traditions, respecting local religions, and including traditional local elites in governance alongside their own administrators.
Step-by-step explanation:
When the Inca conquered other civilizations, they did something quite unique compared to other empires of the time. The Incas are known for incorporating conquered people's culture and traditions while also establishing their own rulership. They not only enforced the cult of Inti, the sun god, throughout the empire but also respected and supported local religions. The administrators coming from the Inca nobility ruled along with traditional local elites, preserving a measure of local autonomy. The Inca Empire also expected the conquered people to provide labor for public works; however, this labor supported infrastructure projects that benefitted larger society and were not merely for conquest and control like the ones demanded by the Spanish conquistadors.