Which of the following is a power unique to the Judicial Branch?

The power unique to the Judicial Branch is the ability to evaluate the constitutionality of laws. This function is commonly associated with judicial review, a principle established in the early 19th century through the landmark case Marbury v. Madison. The Judiciary interprets laws and determines whether they align with the Constitution, effectively serving as a check on the legislative and executive branches. This role is essential in upholding the rule of law and ensuring that governmental actions comply with constitutional standards.

In contrast, writing laws is a power designated to the Legislative Branch, which is responsible for creating statutes and regulations. Executing laws falls under the purview of the Executive Branch, where the President and administrative agencies implement and enforce legislation passed by Congress. Proposing amendments to the Constitution can involve both the Legislative Branch and the states, but it does not specifically pertain to the Judicial Branch. Each branch has distinct powers that ensure a balance of authority, but only the Judiciary can review and rule on the constitutionality of laws.