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Powers and Roots of Complex Numbers

Question 2 • Precalculus

The coefficient in front of the argument (or angle) of z4 would be .

Answer
A
2
B
3
C
4
D
9

Explanation

For a complex number raised to a power, the argument is multiplied by that power: arg(z^n) = n arg(z). Therefore, the argument of z^4 has coefficient 4, so the correct choice is 4.

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