﻿ IMPOWER function

# IMPOWER function

This article describes the formula syntax and usage of the IMPOWERfunction 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:

• 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.

How do I copy an example?

1. Select the example in this article.

Important   Do not select the row or column headers.

Selecting an example from Help

2. Press CTRL+C.

3. In Excel, create a blank workbook or worksheet.

4. In the worksheet, select cell A1, and press CTRL+V.

Important   For the example to work properly, you must paste it into cell A1 of the worksheet.

5. 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.

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

Applies To: Excel 2010, Excel Starter, Excel Online, SharePoint Online

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