Answer: 1.
- A -1
- B 0
- C 1
- D i
Correct answer: C. 1
Explanation: i<sup>4</sup> = (i<sup>2</sup>)<sup>2</sup> = (-1)<sup>2</sup> = 1. Powers of i cycle: i, -1, -i, 1, i, -1, ...
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
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