Complex Number Calculator

Do arithmetic on complex numbers of the form a + bi. Enter two complex numbers (z₁ = a + bi, z₂ = c + di) and an integer exponent n, and the calculator reports their sum, difference, product and quotient, the modulus and argument of z₁, its conjugate and reciprocal, z₁ raised to the n-th power, the principal square root, and the polar forms (r ∠ θ) of both numbers. Division by zero and undefined powers are reported as such. Everything runs locally in your browser.