One power would be judicial review, which the supreme court uses to not only declare laws unconstitutional, but also the actions of the President or Congress. Another power would be the ability to interpret the constitution.
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Article III deals with the supreme courts powers.
the ability to say no
Had Congress allowed six more justices on the Supreme Court, how might have this changed the balance of powers
The Congress and the Supreme Court provide a constitutional check on the President's powers
if you are talking about judges for the supreme court then under Article II of the US constitution it states the powers and duties of the president. one of those powers is to appoint judges to the supreme court