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 …

When you say "normal exponentiation", you can think about natural numbers, real numbers, complex numbers, and so on. Assuming that you mean natural numbers, we want a coherent …

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 …

May 21, 2018 · The logarithm can be defined independently of exponentiation by $\log x=\int_1^x\frac{1}{t}\,dt$; it is an increasing differentiable function, so its inverse $\exp$ is …

Apr 25, 2017 · Extending exponentiation to reals. 3. Definitive answer to existence of real exponents. 0.

Nov 20, 2015 · There can't be just one word denoting the result of applying exponentiation to a pair of numbers. For example, if I gave ou the problem of applying the exponentiation …

Dec 17, 2023 · So saying that "subtraction is the inverse of addition" is a bit sloppy, as you can see. To even speak of inverses, you have to formulate addition and subtraction in a manner …

Over the reals, the concept that "exponentiation = repeated multiplication" breaks down when you have non-integer exponents, so you have to start defining exponentiation using suprema of …

Nov 3, 2017 · Rather than trying to press complex exponentiation into the mold of repeated multiplication, see complex exponentiation -- or more fundamentally, the function $\exp$ -- as …

The short answer is "take logs". The logarithm, or log, of a number reflects what power you need to raise a certain base to in order to get that number.