Find power of complex number online with step by step solution

link to make fast scroll to calculator widget

Our online calculator allows one to find power of complex number with step by step solution. To use the calculator one should choose representation form of complex number (algebraic, trigonometric or exponential) and enter corresponding data. Below we give some basic knowledge of complex numbers.

Suppose we have complex number


To find its nZ power, one need to calculate expression:


To accomplish this task, one can use short multiplication formulas. For example:

z2=(x+iy)2= x2+2xiy+(iy)2= x2+2xyi-y2

However, for high values of n it would be simplier to use de Moivre's formula:


As expected, to use this formula, complex number should be given in the trigonometric form.

Finally, the simplest way to find power of complex number is to use exponential representation:




Power of complex number calculator
Complex number is given in algebraic form:z1i3Find its 3 power:z3 − ?

Install calculator on your site

Other useful links:

Scalar triple product online calculator
Complex number form conversion online calculator
Online vector decomposition in basis

Leave your comment: