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 …

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 …

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, …

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 ...

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

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 …

Oct 7, 2016 · We can define exponentiation as repeated multiplication and solve the problem of "what is the nth root of something" by defining it as "it's whatever thing that, when you multiply …

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 …

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 …

The exponentiation of complex numbers involves some very beautiful geometry! We could do this through some algebraic manipulation easily enough, but it is more interesting for us to try and …