# IMPOWER function

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

Syntax

IMPOWER(inumber,number)

Inumber     is a complex number you want to raise to a power.

Number     is 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.

• Create a blank workbook or worksheet.
• Select the example in the Help topic.

Note   Do not select the row or column headers.

Selecting an example from Help
• Press CTRL+C.
• In the worksheet, select cell A1, and press CTRL+V.
• 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.
A B
Formula Description (Result)
=IMPOWER("2+3i", 3) 2+3i raised to the power of 3 (-46 + 9i)

Applies to:
Excel 2007