Final answer:
The president does not have the power to appoint the Speaker of the U.S. House of Representatives; this position is elected by the House members themselves.
Step-by-step explanation:
The president has the power to appoint various positions within the federal government, including Cabinet members, ambassadors, and judges to the U.S. Supreme Court and federal courts, with the advice and consent of the Senate. However, the position the president does not appoint is the Speaker of the U.S. House of Representatives. The Speaker is elected by the members of the House of Representatives, typically from the majority party in the House.