# The Excel IMPOWER Function

Related Function:
IMSQRT Function

## Function 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 complex number that you want to raise to a given power. number - The power to which the supplied inumber is to be raised.

## Excel Impower Function Examples

The spreadsheets below show five examples of the Excel Impower function:

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
1 3-4i
2 2-11i
3 21+20i
4 3
5 -0.03-0.04i

Note that, in the above example spreadsheet, the integer 9, used in cell B4, is equal to the complex number 9+0i.

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

## Impower Function Error

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

Common Error
 #NUM! - Occurs if the supplied inumber is not recognised as a complex number. #VALUE! - Occurs if either: The supplied inumber argument is a logical value or The supplied number is non-numeric.