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  1. What Is Exponentiation? - Mathematics Stack Exchange

    Mar 8, 2014 · Exponentiation is a correspondence between addition and multiplication. Think of a number line, with 0 0 in the "middle", and tick marks at each integer. Moving a certain distance to the …

  2. Why does exponentiation have 2 inverses? - Mathematics Stack Exchange

    Dec 18, 2023 · I was wondering why addition has one inverse (subtraction), multiplication has one inverse (division), but exponentiation has two (radication and logarithm). After a bit of thinking, I …

  3. Why roots aren't the inverse of exponentiation but logarithms?

    May 27, 2024 · As the exponentiation: in this case it is considered as a function of both of a a and x x and we try to combine the two functions above. However the domain of this function is complicated …

  4. exponentiation - Formal definition of numbers with real exponents ...

    Apr 25, 2017 · The definition of the exponential with integer exponents is straightforward to define: xn = x ⋅ … ⋅ x n−times x n = x x ⏟ n times. These days I've been thinking about the formal definition of the …

  5. Modular exponentiation by hand - Mathematics Stack Exchange

    Modular exponentiation by hand (ab mod c a b mod c) Ask Question Asked 14 years, 2 months ago Modified 1 year, 5 months ago

  6. exponentiation - What's the inverse operation of exponents ...

    Oct 3, 2014 · You know, like addition is the inverse operation of subtraction, vice versa, multiplication is the inverse of division, vice versa , square is the inverse of square root, vice versa. What's the in...

  7. elementary number theory - Modular exponentiation by repeated …

    Mar 13, 2012 · This is known as Exponentiation by repeated squaring (see also Modular exponentiation) It deserves to be better known that this arises simply from writing the exponent in binary radix in …

  8. How is the definition for exponentiation extended to rationals and ...

    May 21, 2018 · so to extend the definition of exponentiation to keep it consistent with the proved theorems b0 = 1 b 0 = 1 and b−n = 1 bn b n = 1 b n are defined n n positive integer. How the …

  9. notation - What is the name of the answer to exponentiation ...

    Nov 20, 2015 · The original question seems to be asking the same thing (i.e. if exponentiation is the name of the operation, what is the name of the output). Having said that, one could easily identify …

  10. arithmetic - What is the general definition of exponentiation ...

    Jun 21, 2021 · I also would like to know who defined exponentiation for these cases and in which paper. --- FYI, elementary things like this from well before the last hundred years or so often have such …