# The Excel IMPOWER Function

Related Function:
IMSQRT Function

## Basic Description

The Excel IMPOWER function returns a supplied complex number, raised to a given power.

The syntax of the function is :

IMPOWER( inumber, number )

Where the function arguments are:

 inumber - The initial complex number that you want to raise to a power number - The power to which the supplied complex number is to be raised

## Excel Impower Function Examples

In the example below, the Excel Impower function is used to calculate several complex numbers raised to different powers.

The formulas are shown in the spreadsheet on the left and the results are shown in the spreadsheet on the right.

Formulas:
A
1=IMPOWER( "2-i", 2 )
2=IMPOWER( "2-i", 3 )
3=IMPOWER( "5+2i", 2 )
4=IMPOWER( 9, 0.5 )
5=IMPOWER( "2+4i", -2 )
Results:
A
13-4i
22-11i
321+20i
43
5-0.03-0.04i

More details and examples of the Excel Impower function are provided on the Microsoft Office website.

## Impower Function Errors

If you get an error from the Excel Impower Function, this is likely to be one of the following:

Common Errors
 #NUM! - Occurs if the supplied inumber argument is not recognised as a complex number #NAME? - Occurs when Analysis ToolPak add-in is not enabled in your Excel.You will need to enable the add-in if you want to use the Excel complex number functions.