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10 cards from this deck
For integer n, z^n = r^n (cos nθ + i sin nθ).
A number in the form a + bi, with real and imaginary parts.
|z| = √(a² + b²), showing distance from origin.
z = r(cos θ + i sin θ), with r as modulus and θ as angle.
The angle θ with the positive real axis on the Argand diagram.
Result is 1 + 0i after simplification.
Check the theorem for n = 1.
Use z^(1/4) = r^(1/4)(cos(θ + 2πk)/4 + i sin(θ + 2πk)/4).
Expand (cos x + i sin x)² to relate to known identities.
Be cautious with non-integer powers; it applies to integers.
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