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Excel IMPOWER Function

Excel IMPOWER function
Summary 

The Excel IMPOWER function returns a complex number raised to a given power. The complex number must be in the form x + yi or x + yj. Use the COMPLEX function to create a complex number from real and imaginary parts.

Purpose 
Raise complex number to given power
Return value 
Complex number as text
Syntax 
=IMPOWER (inumber, number)
Arguments 
  • inumber - A complex number.
  • number - Power to raise number.
Usage notes 

The Excel IMPOWER function returns a complex number raised to an given power. The complex number is input as text, and must be in the form x + yi or x + yj.

For example:

=IMPOWER("1+2i",2) // returns "-3+4i"

In the example shown, the formula in D6, copied down, is:

=IMPOWER(B6,C6)

Notes:

  • Only lowercase "j" and "i" are accepted by IMPOWER. Other values will result in the #NUM error.
  • The number argument must be numeric
Related functions 
Excel COMPLEX function
Excel COMPLEX Function

The Excel COMPLEX function creates a complex number with given real and imaginary coefficients. COMPLEX returns a text result in the form x + yi or x + yj.

Excel IMREAL function
Excel IMREAL Function
The Excel IMREAL function returns the real coefficient of a complex number in the form x + yi or x + yj.
Excel IMAGINARY function
Excel IMAGINARY Function
The Excel IMAGINARY function returns the imaginary coefficient of a complex number given in the form x + yi or x + yj.

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