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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Here, 243 is the 5th power of 3, or 3 raised to the 5th power. The word "raised" is usually omitted, ... Every power of one equals: 1 n = 1. Powers of zero

  3. Fourth power - Wikipedia

    en.wikipedia.org/wiki/Fourth_power

    In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So: n 4 = n × n × n × n. Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares.

  4. Sums of powers - Wikipedia

    en.wikipedia.org/wiki/Sums_of_powers

    The Riemann zeta function is the sum of the reciprocals of the positive integers each raised to the power ... 1 1 + 2 1 = 3 1. The sums of three cubes cannot equal 4 ...

  5. Exponential function - Wikipedia

    en.wikipedia.org/wiki/Exponential_function

    Exponential functions with bases 2 and 1/2. In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative equal to its value. . The exponential of a variable ⁠ ⁠ is denoted ⁠ ⁡ ⁠ or ⁠ ⁠, with the two notations used interchangeab

  6. Subscript and superscript - Wikipedia

    en.wikipedia.org/wiki/Subscript_and_superscript

    In mathematics, high superscripts are used for exponentiation to indicate that one number or variable is raised to the power of another number or variable. Thus y 4 is y raised to the fourth power, 2 x is 2 raised to the power of x, and the equation E = mc 2 includes a term for the speed of light squared.

  7. Base (exponentiation) - Wikipedia

    en.wikipedia.org/wiki/Base_(exponentiation)

    For example, the fourth power of 10 is 10,000 because 10 4 = 10 × 10 × 10 × 10 = 10,000. The term power strictly refers to the entire expression, but is sometimes used to refer to the exponent. Radix is the traditional term for base , but usually refers then to one of the common bases: decimal (10), binary (2), hexadecimal (16), or ...

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  9. Waring's problem - Wikipedia

    en.wikipedia.org/wiki/Waring's_problem

    In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers.