Final answer:
Rome provided civil laws for its conquered territories, codifying them in the Corpus Juris Civilis, which had a lasting influence on European legal systems.
Step-by-step explanation:
The type of laws that Rome provided for its conquered territories primarily consisted of civil laws. The Romans established the Law of Nations, which was an early form of international law and was meant to govern the territories Rome conquered. This law was based on universal standards of justice and was crucial in handling disputes between individuals and the government. Throughout different periods of the Roman Empire, especially under Emperor Justinian, Roman law was imposed on all subject peoples to foster Roman unity, ensuring that local customs did not interfere with critical imperial interests like tax collection and troop recruitment. While Rome did have religious, military, and economic laws and practices, the specific answer to the student question is civil laws which were codified in the Corpus Juris Civilis, laying the foundation for many European legal systems that are still in use.