IMPOWER

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

If this function is not available, and returns the #NAME? error, install and load the Analysis ToolPak add-in.

ShowHow?

  1. On the Tools menu, click Add-Ins.
  2. In the Add-Ins available list, select the Analysis ToolPak box, and then click OK.
  3. If necessary, follow the instructions in the setup program.

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:

Equation

where:

Equation

and:

Equation

and:

Equation

Example

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

ShowHow to copy an example

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

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. 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.
 
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Formula Description (Result)
=IMPOWER("2+3i", 3) 2+3i raised to the power of 3 (-46 + 9i)
 
 
Applies to:
Excel 2003