The division of power involving higher and lower level of governments is called vertical division of power. Vertical division of power refers to sharing of power among different levels of the government - union, state and local government. In this division of power, the local government will work under the union or the state government and the state government will work under the union government.

Division of powers between higher and lower levels of government is called vertical division. This means that certain powers and responsibilities are assigned to the national or federal government, while others are assigned to the state or local governments.

Explanation:

The vertical division of powers is an important feature of federalism, which is a system of government in which power is shared between a national or central government and state or regional governments. In such a system, there is a clear distinction between the powers and responsibilities of the national government and those of the state or local governments.

The vertical division of powers ensures that each level of government has its own sphere of authority and can exercise its powers without interference from other levels of government. This helps to prevent conflicts between different levels of government and ensures that each level can focus on its own responsibilities.

In a federal system, the national government has certain powers and responsibilities that are assigned to it by the constitution. These may include:

- National defense and foreign affairs
- The regulation of interstate commerce
- The management of national resources
- The provision of social welfare programs
- The administration of justice and law enforcement

At the same time, state or local governments have their own powers and responsibilities that are assigned to them by the constitution or by state laws. These may include:

- The provision of education and healthcare
- The regulation of local commerce and industry
- The management of state resources
- The provision of public services such as roads, water, and sanitation
- The administration of justice and law enforcement at the state level

Overall, the vertical division of powers ensures that each level of government has its own responsibilities and can exercise its powers without interference from other levels of government. This helps to create a more balanced and efficient system of government, in which power is shared and distributed in a way that benefits all citizens.