
What Is Exponentiation? - Mathematics Stack Exchange
Mar 8, 2014 · Exponentiation is related to growth that is always proportional to how large the quantity has grown so far. You can have different starts and rates but you can imagine the …
Prove that $i^i$ is a real number - Mathematics Stack Exchange
Sep 5, 2012 · Over the reals, the concept that "exponentiation = repeated multiplication" breaks down when you have non-integer exponents, so you have to start defining exponentiation …
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 …
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 …
Modular exponentiation by hand - Mathematics Stack Exchange
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 …
notation - What is the name of the answer to exponentiation ...
Nov 20, 2015 · What is the name of the answer to exponentiation? Adding two numbers produces a sum. Multiplying two numbers produces a product, but I cannot think of or find the name for …
Newest 'exponentiation' Questions - Mathematics Stack Exchange
Questions about exponentiation, the operation of raising a base b b to an exponent a a to give ba b a.
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 …
Complex exponentiation: Raise complex number to complex number
- Doing complex exponentiation with an imaginary exponent basically just swaps the length and the angle. - Doing complex exponentiation with a complex exponent is a mix of the two things …
Is There a Natural Way to Extend Repeated Exponentiation Beyond …
These definitions only make sense for n n a natural number, but of course there are standard very mathematically satisfying ways to define multiplication and exponentiation by any real number. …