In what ways did confucianism, daoism, and legalism influence political rule in ancient
China?

They provided different forms of government to rule with.

Explanation:

Confucianism became very popular in ancient China. The civil service exam was based off Confucianism and required applicants to be well versed in Confucian teachings to be part of the bureaucracy. This helped organize the government because Confucius preached that the people obey their rulers and the rulers will properly protect and provide for their people. It was popular in the Song Dynasty.

Taoism (also called Daoism) believed in being one with nature. And thus, they favored a laissez faire government (which means the government doesn't include themselves into economic affairs) and a small government.

Legalism believed in a strict set of laws because "no human is truly good". This heavily influenced the formation of the Qin Dynasty as laws became much stricter with very harsh punishments. This was an ideal way of keeping order in ancient society.

they died because of a disease during the first spanish colonies.