Which of the following is a power given to the president in the Constitution?

The power to appoint Supreme Court justices is specifically granted to the president in the Constitution. Article II, Section 2 of the U.S. Constitution states that the president has the authority to nominate judges to the Supreme Court, with the advice and consent of the Senate. This provision underscores the president's role in shaping the judiciary and ensuring that the highest court is composed of justices who align with their judicial philosophy.

The other choices do not accurately reflect powers granted to the president. Impeachment is a power solely held by Congress, which is responsible for bringing charges against federal officials. Amending the Constitution requires a supermajority in Congress or state conventions, which does not involve presidential powers. While the president does engage in international meetings, those actions typically require at least some level of consultation or approval from Congress, especially regarding treaties.