What is one of the constitutional powers of the Prime Minister?

The Prime Minister has the constitutional power to declare war, which is an important aspect of their role in the government. This authority typically involves making decisions about military engagement or conflict on behalf of the nation. The decision to declare war often requires consultation with Parliament, reflecting the need for democratic process and accountability; however, it is inherently within the Prime Minister's scope of responsibilities, usually influenced by the need for national security and foreign policy objectives.

The other options do not accurately represent the powers of the Prime Minister. The creation of new laws is a function that involves Parliament, where legislation must be debated and passed rather than done independently by the Prime Minister. The direct election of members of Parliament is not a power of the Prime Minister, as MPs are elected by constituents. Lastly, judicial appointments, while influenced by the Prime Minister, are typically made in conjunction with other legal and institutional frameworks and not solely overseen by the Prime Minister alone.