Mod

 The modulus of a complex number:

This mapping allows us to apply complex arithmetic to geometry, and, more importantly, apply geometric concepts to complex numbers. 

Just like the absolute value of a number is its distance from 0, the modulus of a complex number is its distance from 0+0i.

                                                                          

*     *     *

Imaginary Exponents :        

Euler's formula:

So here's the thing, a standard calculator has to work with the formula. 

Proof: https://www.mathsisfun.com/algebra/eulers-formula.html

Microsoft Word - 3MSPM Chap2 Taylor-Maclaurin 2024.docx (gymomath.ch)

                                                          

In effect, it is through the use of complex exponents on e that one gets around 

the complex plane.

Complex exponents:

I'm in some sort of versions trouble; could not get the tutorial code to give the

expected answer...

                                                     

From Perplexity, to which I asked for the steps in the calculation of e^(1 +j);