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=IMPOWER()
Returns a complex number in x + yi or x + yj text format raised to a power.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=IMPOWER(inumber, number)
Hover argument names in the table for details.
Output typeNumber/Text
Popularity28 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
inumber |
Text | Required | A complex number you want to raise to a power. |
number |
Number | Required | The power to which you want to raise the complex number. |
▣ Examples
2+3i raised to the power of 3 (-46 + 9i)
=IMPOWER("2+3i", 3)
Result:
-46+9.00000000000001i
§ 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:
✦ Tips
- Use COMPLEX to convert real and imaginary coefficients into a complex number.
- Number can be an integer, fractional, or negative.
⚠ Common Errors
#VALUE!
If number is nonnumeric, IMPOWER returns the #VALUE! error value.
Fix: a+bi
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