The court case of Marbury v. Madison was significant because it established the principle of judicial review. This specific case confirmed the power of the Supreme Court to interpret and declare acts of Congress unconstitutional. This elevated the power of the Supreme Court by providing a check on the other branches of government and allowing the Court to have the final say on the constitutionality of laws. Additionally, judicial review established the Court as the ultimate authority in the interpretation of the Constitution, giving it a significant role in shaping the laws and policies of the United States.

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The significance of the Marbury v. Madison court case lies in its establishment of the principle of judicial review. This landmark case solidified the Supreme Court's authority to interpret and invalidate Congressional acts that contradict the Constitution. Consequently, it bolstered the Court's power by introducing a crucial check on the other branches of government, ensuring the final word on the constitutionality of laws rested with the Court. Moreover, this principle elevated the Court as the ultimate authority in the interpretation of the Constitution, bestowing it with a pivotal role in shaping the laws and policies of the United States.