# IMPOWER

Formulas / IMPOWER
Raise a complex number to a given power.
`=IMPOWER(inumber, number)`
• inumber - required, complex number
• number - required, power to raise the complex number to

## Examples

• `=IMPOWER("2+3i", 3)`

The function can be used to raise a complex number to a power. For example, returns -46, whithisch is 2+3i (raised to the power of 3).

• `=IMPOWER(-2, 4)`

The function can also be used to raise a negative number to a power. For example, this returns 16, which is -2 raised to the power of 4.

• `=IMPOWER(-2, -3)`

The function can also be used to raise a negative number with a negative exponent to a power. For example, this formula returns -0.125, which is -2 raised to the power of -3.

## Summary

The IMPOWER function is used to raise a complex number to a power, returning the result in text format x + yi or x + yj. Both the inumber and number arguments are required, and must be complex numbers.

• The IMPOWER function returns a complex number in the form x + yi or x + yj.
• The COMPLEX function creates a complex number from real and imaginary parts that can be supplied as arguments to the IMPOWER function.