De Moivre's Formula, raising a complex number to a power

Online calculator De Moivre's Formula. Raising to a power and extracting roots of a complex number.

De Moivre's formula is used for raising a complex number to a power and has the form:
z^n = |z|^n * (cos(nθ) + i * sin(nθ)),
where z - complex number in algebraic form z = a + bi, n - power, |z| - modulus of the complex number (distance from zero to the point where the number is represented on the complex plane), θ - argument of the complex number (angle between the positive direction of the real axis and the segment connecting the origin and the point where the number is represented on the complex plane), i - imaginary unit (i^2 = -1).



Enter the complex number:

z = + i

n =