Final answer:
European colonial groups used various methods during the colonial period to exert control over colonized territories, including violent rule, the extraction of raw materials, forced labor, and cultural suppression.
Step-by-step explanation:
European colonial groups used various methods during the colonial period to exert control over colonized territories. These methods included violent rule by European governments, the extraction of raw materials, forced labor, taxation, the spread of Christian missions, the denigration of local cultures, the introduction of diseases, and increased local conflicts. Additionally, colonial states established authoritarian and extractive systems, invaded territories, forced local populations to work on colonial projects, and designed and controlled local economies to benefit European colonizers.