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.  

2686-2181 bce-- "egyptian civilization developed along the nile river in large part because the river’s annual flooding ensured reliable, rich soil for growing crops."

1069-664 bce-- "ancient egyptians developed wide-reaching trade networks along the nile, in the red sea, and in the near east."