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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    For example, when adding and the single denominators have a common factor 2, and therefore, instead of the denominator 24 (4 × 6), the halved denominator 12 may be used, not only reducing the denominator in the result, but also the factors in the numerator.

  3. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    One way to calculate exponentiation with a fractional exponent is to perform two separate calculations: one exponentiation using the numerator of the exponent followed by drawing the nth root of the result based on the denominator of the exponent. For example, =. The first operation can be completed using methods like repeated multiplication or ...

  4. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    Algebraic operations in the solution to the quadratic equation.The radical sign √, denoting a square root, is equivalent to exponentiation to the power of ⁠ 1 / 2 ⁠.The ± sign means the equation can be written with either a + or a – sign.

  5. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    Every irrational fraction in which the radicals are monomials may be rationalized by finding the least common multiple of the indices of the roots, and substituting the variable for another variable with the least common multiple as exponent. In the example given, the least common multiple is 6, hence we can substitute = to obtain

  6. Subtraction - Wikipedia

    en.wikipedia.org/wiki/Subtraction

    Subtraction also obeys predictable rules concerning related operations, such as addition and multiplication. All of these rules can be proven, starting with the subtraction of integers and generalizing up through the real numbers and beyond. General binary operations that follow these patterns are studied in abstract algebra.

  7. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    Logarithms can be used to make calculations easier. 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.

  8. Matt Eberflus: Bears filing complaint with NFL that Packers ...

    www.aol.com/sports/matt-eberflus-bears-filing...

    Eberflus acknowledged that the Bears did a poor job of blocking, but believes that the Packers made illegal contact with long snapper Scott Daly on the play and wants the NFL to take a second look.

  9. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Also unlike addition and multiplication, exponentiation is not associative: for example, (2 3) 2 = 8 2 = 64, whereas 2 (3 2) = 2 9 = 512. Without parentheses, the conventional order of operations for serial exponentiation in superscript notation is top-down (or right -associative), not bottom-up [ 23 ] [ 24 ] [ 25 ] (or left -associative).

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