Use up and down arrows or the mouse scroll. This project give you the value of I for different powers. Thanks to @IAsctcaokuennt for some coding part. #Maths #imaginary #numbers #I #simpleprojects #42 EXPLANATION OF HOW TO CALCULATE THE VALUE OF I POWERED TO X AND WHY √(-1) = i (i is the number that multiplied by itself, is equal to -1) i⁰¹²³⁴⁵⁶⁷⁸⁹ i⁰ = 1 (any number raised to 0 is equal to 1) i¹ = i i² = -1; √(-1) * √(-1) = -1; (the roots disapears) i³ = -i = i² * i; i² = -1, so -1 * i = -i i⁴ = i² * i² = -1 * -1 = 1, i⁴ = 1 And the is a cycle that repeats all the time: i, -1, -i, 1. This means that i⁵ is equal to i, i⁶ to -1, and so on. Look that as this way (for example with i⁴²): i⁴² = i⁴ * i⁴ * i⁴ * i⁴ * i⁴ * i⁴ * i⁴ * i⁴ * i⁴ * i⁴ * i²; because the exponents add up giving 42, and if i⁴ is equal to one, we have that: i⁴² = 1 * 1 * 1 * 1 * 1 * 1 * 1 * 1 * 1 * 1 * i², so: i⁴² = i² = -1 And for negative powers: i^-1 = 1/I; 1 = i⁴ So; i^-1 = i⁴/i = i³ = -1 I wish this has helped you learning new things :D
