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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    For example, 3 5 = 3 · 3 · 3 · 3 · 3 = 243. 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".

  3. Fifth power (algebra) - Wikipedia

    en.wikipedia.org/wiki/Fifth_power_(algebra)

    In arithmetic and algebra, the fifth power or sursolid [1] of a number n is the result of multiplying five instances of n together: n 5 = n × n × n × n × n. Fifth powers are also formed by multiplying a number by its fourth power, or the square of a number by its cube. The sequence of fifth powers of integers is:

  4. Knuth's up-arrow notation - Wikipedia

    en.wikipedia.org/wiki/Knuth's_up-arrow_notation

    Exponentiation for a natural power is defined as iterated multiplication, which Knuth ... 3 4 5 formula 1 3: 9: 27: 81: 243: 2 3: 27: ...

  5. Sums of powers - Wikipedia

    en.wikipedia.org/wiki/Sums_of_powers

    The Erdős–Moser equation, + + + = (+) where m and k are positive integers, is conjectured to have no solutions other than 1 1 + 2 1 = 3 1. The sums of three cubes cannot equal 4 or 5 modulo 9, but it is unknown whether all remaining integers can be expressed in this form.

  6. Binomial theorem - Wikipedia

    en.wikipedia.org/wiki/Binomial_theorem

    In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power ⁠ (+) ⁠ expands into a polynomial with terms of the form ⁠ ⁠, where the exponents ⁠ ⁠ and ⁠ ⁠ are nonnegative integers satisfying ⁠ + = ⁠ and the coefficient ⁠ ⁠ of each term is a specific positive integer ...

  7. Powerball results Saturday, Dec. 9: Check winning ... - AOL

    www.aol.com/powerball-results-saturday-dec-9...

    There were no Match 5 + Power Play $2 million winners. Last night's Powerball winning numbers. The winning numbers in the Saturday, Dec. 9 Powerball drawing were 5, 25, 26, 40 and 60.

  8. Polite number - Wikipedia

    en.wikipedia.org/wiki/Polite_number

    A Young diagram representing visually a polite expansion 15 = 4 + 5 + 6. In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers.

  9. Marble Sculpture Bought for $6 and Used as Doorstop Could ...

    www.aol.com/marble-sculpture-bought-6-used...

    According to Highland Council, who the sculpture is now in the care of, the bust was bought for £5 ($6) in 1930, more than 200 years after it was made.