who has to approve members of the president's cabinet
Cabinet of the United States The heads of the executive departments and all other federal agency heads are nominated by the President and then presented to the Senate for confirmation or rejection by a simple majority (although before the use of the "nuclear option" during the 113th US Congress, they could have been blocked by filibuster, requiring cloture to be invoked by ​3⁄5 supermajority to further consideration). If approved, they receive their commission scroll, are sworn in and then begin their duties.
Powers of the President of the United States The Constitution explicitly assigned the president the power to sign or veto legislation, command the armed forces, ask for the written opinion of their Cabinet, convene or adjourn Congress, grant reprieves and pardons, and receive ambassadors. The president may make treaties which need to be ratified by two-thirds of the Senate. The president may also appoint Article III judges and some officers with the advice and consent of the U.S. Senate. In the condition of a Senate recess, the president may make a temporary appointment.