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Home/Mathematics/Complex Numbers/Complex Power Calculator
Math CalculatorComplex Numbers

Complex Power Calculator

Raise a complex number z to a complex power n using z^n. Both base and exponent can be complex, providing results in rectangular form.

Updated 2025-01-154 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

Enter the real component of the base complex number

Enter the imaginary component of the base complex number

Enter the real component of the exponent

Enter the imaginary component of the exponent

Formula & Methodology

How this calculator works

z^n = e^(n ln z)

For z = a + bi raised to the power n = c + di, the result is computed via the identity z^n = e^(n·ln z), where ln z = ln|z| + i·arg(z). This generalizes real exponentiation to the complex plane.

Frequently Asked Questions

Common questions about this calculator

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