He can appoint Justices, but they have to be approved by congress.
the half to be appointed
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The president does not have any power over the decisions of the Supreme Court. Only the Supreme Court itself can overturn a supreme court decision.
the power are the same as all the othe powers
There is no such power. If there was, President Nixon would never have turned over the Watergate tapes.
Sometimes.
If the President is the one impeached, the Chief Justice of the Supreme Court presides over the trial.
The half to be appointed
The president has some influence over the supreme court, but only to an extent. As previously stated he nominates people to the supreme court, but this in turn is checked by the legislative function in the government so his influence is small here if anything. He does however have the power and right to openly support or criticise the court, thus to an extent influencing some of their decisions.The President has the power to fill open judge positions by submitting nominees of his choice to the Senate. He can choose people who agree with him on constitutional questions.
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Former President William Howard Taft (1909-1913) is the only President to serve on the Supreme Court. President Warren G. Harding appointed Taft Chief Justice of the Supreme Court in 1921; he presided over the Court until a few months before his death in 1930.
The United States Constitution includes rigid separation of powers, simultaneously counteracted by a system of checks and balances. The American president as chief executive can influence courts through their selection of nominees based on political leanings. That being said this power in turn is checked and can be negated by the Senate's authority to deny confirmation of judicial nominees.
The President (Executive Branch) doesn't have the authority to reverse a Supreme Court (Judicial Branch) decision because such action would violate the separation of powers established by the Constitution. If the President had that kind of "veto authority" over a Supreme Court decision he (or she) would effectively control two branches of the government and would be vested with too much power.
The US Supreme Court only has limited power over the state courts because state laws and state constitutional issues that aren't in conflict with the US Constitution lay outside the Supreme Court's jurisdiction.