## Summary

The Excel IMPOWER function returns a complex number raised to a given power. The complex number must be in the form x + yi or x + yj. Use the COMPLEX function to create a complex number from real and imaginary parts.

## Purpose

Raise complex number to given power

## Return value

Complex number as text

## Arguments

• inumber - A complex number.
• number - Power to raise number.

## Syntax

=IMPOWER(inumber, number)

## How to use

The Excel IMPOWER function returns a complex number raised to a given power. The complex number is input as text, and must be in the form x + yi or x + yj.

For example:

``````=IMPOWER("1+2i",2) // returns "-3+4i"

``````

In the example shown, the formula in D6, copied down, is:

``````=IMPOWER(B6,C6)
``````

Notes:

• Only lowercase "j" and "i" are accepted by IMPOWER. Other values will result in the #NUM error.
• The number argument must be numeric Author ### Dave Bruns

Hi - I'm Dave Bruns, and I run Exceljet with my wife, Lisa. Our goal is to help you work faster in Excel. We create short videos, and clear examples of formulas, functions, pivot tables, conditional formatting, and charts.