
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 …
exponentiation - Formal definition of numbers with real exponents ...
Apr 25, 2017 · Explore related questions definition exponentiation See similar questions with these tags.
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 …
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 …
exponentiation - How to calculate a decimal power of a number ...
Feb 10, 2011 · I wish to calculate a power like $$2.14 ^ {2.14}$$ When I ask my calculator to do it, I just get an answer, but I want to see the calculation. So my question is, how to calculate this …
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 …
exponentiation - How does an exponent work when it's less than …
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 …
exponentiation - Complex Exponent of Complex Numbers
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 …
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
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 …