IMPOWER

Returns the integer power of a complex number.

Sample Usage

IMPOWER("5+2i",3)
IMPOWER("1+2i",2)

Syntax

IMPOWER(complex_number, exponent)

• complex_number - The complex number.
  
• exponent - The exponent.

Examples

IMPOWER("5+2i",3) returns a value of "65+142i".
IMPOWER("1+2i",2) returns a value of "-3+4i".

Notes

• A complex number raised to a power is calculated as: (a+bi)ⁿ = rⁿ(cosθ + isinθ),
  • where r = √(x² + y²)
  • and where θ = arctan(b/a)
• exponent can be an integer, fractional, or negative.
• If exponent is nonnumeric, IMPOWER returns an error.