# Manuals/calci/IMPOWER

Jump to navigation
Jump to search

**IMPOWER(Complexnumber,n)**

- is of the form
- is the power value.
- IMPOWER(), returns a complex number raised to an integer power.

## Description

- This function gives the value of powers of complex number.
- DeMoivre's Theorem is a generalized formula to compute powers of a complex number in it's polar form.
- is the imaginary unit,
- Then the power of a complex number is defined by

where and , .

- This formula is called DeMoivre's theorem of complex numbers.
- We can use COMPLEX function to convert real and imaginary number in to a complex number.
- In IMPOWER(Complexnumber,n), can be integer, fractional or negative.
- If is non-numeric, function will return error value.

## ZOS

- The syntax is to calculate powers of Complex number in ZOS is .
- is of the form
- is the power value.

- For e.g.,IMPOWER("7-8i",6)

## Examples

- =IMPOWER("4+5i",3) = -235.99999+115i
- =IMPOWER("9-7i",4) = -14852-8063.999999i
- =IMPOWER("6",9) = 10077696+0i
- =IMPOWER("i",10) = -1+0i

## Related Videos

## See Also

## References