Complex Exponent

By Kardi Teknomo, PhD .
ComplexNumber

< Next | Previous | Index >

Exponent of a Complex Numbers

Suppose Complex Number Tutorial: Complex Exponent is a complex number. We can perform exponent of the complex number

Complex Number Tutorial: Complex Exponent

Properties of Complex Exponent

  • Multiplication of exponent Complex Number Tutorial: Complex Exponent , if Complex Number Tutorial: Complex Exponent and Complex Number Tutorial: Complex Exponent are complex numbers.
  • When the two complex numbers are negative to each other, Complex Number Tutorial: Complex Exponent
  • Euler formula Complex Number Tutorial: Complex Exponent is obtained from complex exponent of pure imaginary component with absolute value 1, that is Complex Number Tutorial: Complex Exponent such that Complex Number Tutorial: Complex Exponent
  • Since Complex Number Tutorial: Complex Exponent and Complex Number Tutorial: Complex Exponent , using Euler formula we can get Complex Number Tutorial: Complex Exponent .
  • Since Complex Number Tutorial: Complex Exponent and Complex Number Tutorial: Complex Exponent , using Euler formula we can get Complex Number Tutorial: Complex Exponent
  • Since Complex Number Tutorial: Complex Exponent and Complex Number Tutorial: Complex Exponent , using Euler formula we can get Complex Number Tutorial: Complex Exponent and Complex Number Tutorial: Complex Exponent .
  • Complex exponent is periodic with the imaginary period Complex Number Tutorial: Complex Exponent , Complex Number Tutorial: Complex Exponent .

See Also : Complex Power , Complex Root , Complex Logarithm

< Next | Previous | Index >

Rate this tutorial or give your comments about this tutorial

This tutorial is copyrighted .