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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 $0$ in the "middle", and tick marks at each integer. Moving a certain distance to …

  2. arithmetic - Why does exponentiation have 2 inverses? - Mathematics ...

    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 · I was taught my whole life that if I want to get rid of a root I should just do the inverse and ''exponentiate that with its index'' and now I just learn that roots aren't the inverse of …

  4. elementary number theory - Modular exponentiation by repeated …

    Mar 13, 2012 · Modular exponentiation by repeated squaring (and peasant multiplication] Ask Question Asked 13 years, 11 months ago Modified 9 months ago

  5. Modular exponentiation by hand ($a^b\bmod c$) - Mathematics Stack …

    23 Some tricks which are useful for modular exponentiation The intention of this post is to collect various tricks which can sometimes simplify computations of this type. (Especially when done by hand and …

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

    Apr 25, 2017 · The definition of the exponential with integer exponents is straightforward to define: $x^n=\underbrace {x\cdot\ldots\cdot x}_ {n-\text {times}}$. These days I've ...

  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. Is There a Natural Way to Extend Repeated Exponentiation Beyond …

    Exponentiation is not associative, and it shouldn't be, because in many more general cases its two inputs are different types of things. Therefore, there's no reason to expect repeated exponentiation to …

  10. exponentiation - How do I reverse engineer this "power of"/exponent ...

    Take the following: (2)^3 = 8 I understand that this is 2 * 2 * 2 = 8 My question is how do I reverse engineer this if I do not know the power like this: (2)^x = 8 What is the value of x? x could