Final answer:
Local Government in Australia exercises powers that are delegated by the relevant state or territory government, not the federal government or the Australian Constitution.
Step-by-step explanation:
Local Government in Australia exercises the powers delegated to it by the relevant state or territory government. Australian federalism is a system that divides powers between the national government and the state and territorial governments. The Australian Constitution does not specifically recognize local governments as a separate tier. However, the role and powers of local governments are defined by state and territory legislation, making them an essential part of government administration and service delivery at the community level. Since local governments are created by state legislation, their powers and responsibilities can vary significantly between states and territories.