Final answer:
An executive order is a directive from the president to implement legislation, while ordinance power refers to the power of a local government to create laws. Both involve creating laws or directives, but executive orders are issued by the president at the federal level, whereas ordinances are created by local governments.
Step-by-step explanation:
An executive order is a directive from the president to administrators in the executive branch on how to implement legislation. It is treated as equivalent to a law by the courts. On the other hand, ordinance power refers to the power of a local government, such as a city or county, to create laws or regulations. The relationship between executive orders and ordinance power is that both involve the creation of laws or directives, but executive orders are issued at the federal level by the president, while ordinances are created at the local level by a local government.