Answer: 1.
- A i
- B -i
- C 1
- D -1
Correct answer: C. 1
Explanation: Powers of i cycle with period 4. 100 = 4 x 25, remainder 0. i<sup>100</sup> = (i<sup>4</sup>)<sup>25</sup> = 1<sup>25</sup> = 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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