How this calculation works
Raise a nonzero polar complex number to a signed integer power.
THE FORMULA
(r cis θ)ⁿ = rⁿ cis(nθ)A worked example
Cubing magnitude 2 at angle 30° gives magnitude 8 at 90°.
Good to know
The input magnitude must be positive.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Raise a nonzero polar complex number to a signed integer power.
The primary result is labeled “Result magnitude”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The input magnitude must be positive.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
Cubing magnitude 2 at angle 30° gives magnitude 8 at 90°.
Which rule does this calculator apply?
(r cis θ)ⁿ = rⁿ cis(nθ)