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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 …

  2. 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 …

  3. exponentiation - How can I intuitively understand complex …

    Nov 3, 2017 · I don't think you can intuitively understand complex exponentiation as a generalization of real exponentiation without first synthesizing an understanding of …

  4. Why does exponentiation have 2 inverses? - Mathematics Stack …

    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, …

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

    May 21, 2018 · When rigorously laying out foundations of all of analysis, the usual method is to use the definition $$ a^b = \exp (b \log (a)) $$ While you could try and define exponentiation …

  6. exponentiation - How do I reverse engineer this "power …

    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

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

    Apr 25, 2017 · Explore related questions definition exponentiation See similar questions with these tags.

  8. exponentiation - What comes after exponents? - Mathematics …

    Sep 10, 2013 · We use multiplication for repeated addition, and in turn use exponents for repeated multiplication. What topic comes after this, for repeated exponentials? Is there …

  9. Prove that $i^i$ is a real number - Mathematics Stack Exchange

    Oct 3, 2015 · Over the reals, the concept that "exponentiation = repeated multiplication" breaks down when you have non-integer exponents, so you have to start defining exponentiation …

  10. Meaning of a set in the exponent - Mathematics Stack Exchange

    Further to Asaf's comment: >In some parts of set theory where this notation can be confused with other types of exponentiation, you can see the notation $^BA$ used instead. Thanks for …