Final answer:
The significant economic and cultural influence that France and Britain maintain in various independent regions today is termed as 'imperialism'. This reflects the historical context of powerful nations dominating weaker ones for their own benefit.
Step-by-step explanation:
While the states on the map are independent today, France and Britain still have a great deal of economic and cultural influence in the region. This influence is called imperialism. Imperialism refers to the economic, political, and military domination of strong nations over weaker ones. Historically, Great Britain and France have played significant roles in shaping various regions around the world through imperialism, carving up and claiming territories for their own benefits. Even after the process of decolonization, where former colonies gained independence, the cultural and economic legacies of imperialism often linger, allowing European powers to maintain a certain degree of influence in these independent states.