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2. Exponentiation - Wikipedia

   en.wikipedia.org/wiki/Exponentiation

   This definition of exponentiation with negative exponents is the only one that allows extending the identity + = to negative exponents (consider the case =). The same definition applies to invertible elements in a multiplicative monoid , that is, an algebraic structure , with an associative multiplication and a multiplicative identity denoted 1 ...

3. Reciprocal rule - Wikipedia

   en.wikipedia.org/wiki/Reciprocal_rule

   The reciprocal rule can be used to show that the power rule holds for negative exponents if it has already been established for positive exponents. Also, one can readily deduce the quotient rule from the reciprocal rule and the product rule .

4. Falling and rising factorials - Wikipedia

   en.wikipedia.org/wiki/Falling_and_rising_factorials

   For example, () = = is the number of different podiums—assignments of gold, silver, and bronze medals—possible in an eight-person race. On the other hand, x ( n ) {\displaystyle x^{(n)}} is "the number of ways to arrange n {\displaystyle n} flags on x {\displaystyle x} flagpoles", [ 8 ] where all flags must be used and each flagpole can ...

5. Power of two - Wikipedia

   en.wikipedia.org/wiki/Power_of_two

   By comparison, powers of two with negative exponents are fractions: for positive integer n, 2 −n is one half multiplied by itself n times. Thus the first few negative powers of 2 are ⁠ 1 / 2 ⁠, ⁠ 1 / 4 ⁠, ⁠ 1 / 8 ⁠, ⁠ 1 / 16 ⁠, etc. Sometimes these are called inverse powers of two because each is the multiplicative inverse of ...

6. Tetration - Wikipedia

   en.wikipedia.org/wiki/Tetration

   In general, if / < <, then x has two positive square super-roots between 0 and 1; and if >, then x has one positive square super-root greater than 1. If x is positive and less than e − 1 / e {\displaystyle e^{-1/e}} it does not have any real square super-roots, but the formula given above yields countably infinitely many complex ones for any ...

7. The 49ers have suspended De'Vondre Campbell for final 3 games

   www.aol.com/49ers-suspended-devondre-campbell...

   The San Francisco 49ers suspended linebacker De’Vondre Campbell for the rest of the regular season after he refused to enter a game after losing his starting job. General manager John Lynch ...