# IMPOWER function

This article describes the formula syntax and usage of the IMPOWER function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.

## Description

Returns a complex number in x + yi or x + yj text format raised to a power.

## Syntax

`IMPOWER(inumber, number)`

The IMPOWER function syntax has the following arguments (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):

• Inumber    Required. A complex number you want to raise to a power.
• Number    Required. The power to which you want to raise the complex number.

## Remarks

• Use COMPLEX to convert real and imaginary coefficients into a complex number.
• If number is nonnumeric, IMPOWER returns the #VALUE! error value.
• Number can be an integer, fractional, or negative.
• A complex number raised to a power is calculated as follows:

where:

and:

and:

## Example

The example may be easier to understand if you copy it to a blank worksheet.

1. Select the example in this article. If you are copying the example in Excel Online, copy and paste one cell at a time.
Important: Do not select the row or column headers.

Selecting an example from Help

1. Press CTRL+C.
2. Create a blank workbook or worksheet.
3. In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Online, repeat copying and pasting for each cell in the example.
Important: For the example to work properly, you must paste it into cell A1 of the worksheet.
4. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.

A B
Formula Description (Result)
=IMPOWER("2+3i", 3) 2+3i raised to the power of 3 (-46 + 9i)

Applies to:
Excel 2010, Excel Web App, SharePoint Online for enterprises, SharePoint Online for professionals and small businesses