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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Laws_of_exponents

    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. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    The method is based on the observation that, for any integer >, one has: = {() /, /,. If the exponent n is zero then the answer is 1. If the exponent is negative then we can reuse the previous formula by rewriting the value using a positive exponent.

  4. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    Rather than using the ambiguous division sign (÷), [a] division is usually represented with a vinculum, a horizontal line, as in ⁠ 3 / x + 1 ⁠. In plain text and programming languages, a slash (also called a solidus) is used, e.g. 3 / (x + 1). Exponents are usually formatted using superscripts, as in x 2.

  5. List of numeral systems - Wikipedia

    en.wikipedia.org/wiki/List_of_numeral_systems

    Encoding using all Gurmukhi characters plus the Gurmukhi digits. 52: Covers the digits and letters assigned to base 62 apart from the basic vowel letters; [59] similar to base 26 but distinguishing upper- and lower-case letters. 56: A variant of base 58. [clarification needed] [60] 57: Covers base 62 apart from I, O, l, U, and u, [61] or I, 1 ...

  6. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    In mathematics, an algebraic expression is an expression built up from constants (usually, algebraic numbers) variables, and the basic algebraic operations: addition (+), subtraction (-), multiplication (×), division (÷), whole number powers, and roots (fractional powers).

  7. FOIL method - Wikipedia

    en.wikipedia.org/wiki/FOIL_method

    The FOIL method is a special case of a more general method for multiplying algebraic expressions using the distributive law. The word FOIL was originally intended solely as a mnemonic for high-school students learning algebra. The term appears in William Betz's 1929 text Algebra for Today, where he states: [2]

  8. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    For example, two numbers can be multiplied just by using a logarithm table and adding. These are often known as logarithmic properties, which are documented in the table below. [2] The first three operations below assume that x = b c and/or y = b d, so that log b (x) = c and log b (y) = d. Derivations also use the log definitions x = b log b (x ...

  9. Exponential field - Wikipedia

    en.wikipedia.org/wiki/Exponential_field

    A field is an algebraic structure composed of a set of elements, F, two binary operations, addition (+) such that F forms an abelian group with identity 0 F and multiplication (·), such that F excluding 0 F forms an abelian group under multiplication with identity 1 F, and such that multiplication is distributive over addition, that is for any elements a, b, c in F, one has a · (b + c) = (a ...

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