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  2. Fifth Amendment to the United States Constitution - Wikipedia

    en.wikipedia.org/wiki/Fifth_Amendment_to_the...

    The amendment as proposed by Congress in 1789 and ratified by the States: No person shall be held to answer for a capital, or otherwise infamous crime, unless on a presentment or indictment of a Grand Jury, except in cases arising in the land or naval forces, or in the Militia, when in actual service in time of War or public danger; nor shall any person be subject for the same offence to be ...

  3. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    The base 3 appears 5 times in the multiplication, because the exponent is 5. Here, 243 is the 5th power of 3, or 3 raised to the 5th power. The word "raised" is usually omitted, and sometimes "power" as well, so 3 5 can be simply read "3 to the 5th", or "3 to the 5".

  4. Separation of powers under the United States Constitution

    en.wikipedia.org/wiki/Separation_of_powers_under...

    Separation of powers is a political doctrine originating in the writings of Charles de Secondat, Baron de Montesquieu in The Spirit of the Laws, in which he argued for a constitutional government with three separate branches, each of which would have defined abilities to check the powers of the others. This philosophy heavily influenced the ...

  5. Wheat and chessboard problem - Wikipedia

    en.wikipedia.org/wiki/Wheat_and_chessboard_problem

    The problem may be solved using simple addition. With 64 squares on a chessboard, if the number of grains doubles on successive squares, then the sum of grains on all 64 squares is: 1 + 2 + 4 + 8 + ... and so forth for the 64 squares. The total number of grains can be shown to be 2 64 −1 or 18,446,744,073,709,551,615 (eighteen quintillion ...

  6. Powers of the United States Congress - Wikipedia

    en.wikipedia.org/wiki/Powers_of_the_United...

    Article I. Among the powers specifically given to Congress in Article I Section 8, are the following: 1. To lay and collect taxes, duties, imposts and excises, to pay the debts and provide for the common defense and general welfare of the United States; but all duties, imposts and excises shall be uniform throughout the United States; 2.

  7. Nomination and confirmation to the Supreme Court of the ...

    en.wikipedia.org/wiki/Nomination_and...

    The president has the plenary power to nominate and to appoint, while the Senate possesses the plenary power to reject or confirm the nominee prior to their appointment. [2] [3] [4] Alexander Hamilton wrote about the way the Constitution allocates the power of appointment in The Federalist No. 76 (1778). The president, he asserted, should have ...

  8. Three-fifths Compromise - Wikipedia

    en.wikipedia.org/wiki/Three-Fifths_Compromise

    In the U.S. Constitution, the Three-fifths Compromise is part of Article 1, Section 2, Clause 3: . Representatives and direct Taxes shall be apportioned among the several States which may be included within this Union, according to their respective Numbers, which shall be determined by adding to the whole Number of free Persons, including those bound to Service for a Term of Years, and ...

  9. Article Two of the United States Constitution - Wikipedia

    en.wikipedia.org/wiki/Article_Two_of_the_United...

    Section 2 of Article Two lays out the powers of the presidency, establishing that the president serves as the commander-in-chief of the military, among many other roles. This section gives the president the power to grant pardons. Section 2 also requires the "principal officer" of any executive department to tender advice.