How do republic and federal describe the US government?

The United States government can be described as both a republic and a federal government. A republic is a form of government in which the country is considered a "public matter," not the private concern or property of the rulers. The people or their elected representatives hold the state power, and offices of state are elected or appointed. In the United States, the people elect representatives to carry out the functions of the government, such as making laws, executing laws, and interpreting laws.

Additionally, the United States government is a federal government. A federal government is a system of government in which the same territory is controlled by two levels of government. In the United States, the federal government shares power with state governments. The federal government has certain powers that are exclusive to it, such as the power to declare war and coin money. State governments have certain powers that are exclusive to them, such as the power to regulate traffic and education. Both the federal government and state governments share certain powers, such as the power to levy taxes and establish courts.

The combination of a republic and a federal government creates a system of government in which the people hold the power and the power is shared between the federal government and state governments.