Final answer:
The false statement about Congress's authority to declare war is 'E. and exercises this authority with great frequency,' as Congress has not frequently declared war since World War II.
Step-by-step explanation:
The question asks which statement about Congress and its authority to declare war is false. According to the U.S. Constitution, Congress indeed has the power to declare war, and the last formal declaration of war was during World War II. Since then, presidents have often initiated military action without a formal declaration, relying instead on congressional authorizations, United Nations resolutions, or other forms of international support.
The correct answer to the provided question is E. 'and exercises this authority with great frequency,' because Congress has not declared war with great frequency since World War II, which is a false statement regarding its war-declaring authority. Options A through D reflect truths about the Congress's role and actions regarding declarations of war in the past.