Genghis khan and the mongols were known as fierce conquerors, but the rules were quite
different when they ruled. what would life under the mongols be like for a conquered person?

Was a stable and peaceful life

Explanation:

Even though the Mongols were known for its warfare, the strong cavalry, and their fierce on the battlefield. Once their conquered a territory the people were free to choose their religious believes as long as they obey the Khan mandates.  

Under the Mongol empire there is a period called the Pax Mongolica were the territories surrounding the empire did not get into confrontations and the emergence of a sustainable peace was the engine for the development of trade on the silk road.  

true is the answer to this

cultural/diplomatic relations. most medieval japanese   culture has chinese origins. writing, architecture etc.