Question

Which expression is equivalent to −$i$?

Select one:
a. (i$i^{15$)
b. $(i^{6 ) ^ {7$ $-(i^{5} )^{4}$
c. $(1+i)(1-i)$
d. $i^{12} -(i^{13}) ^{3}$

Answer 1

The equation which is equivalent to -i among the answer choices is; i^(15), option A

Which expression is equivalent to -i?

It follows from the concept of complex numbers that the representation -i stands for √-1 and on this note, it follows that;

i² = -1

i³ = -i

i⁴ = 1

Hence, it follows that;

i^(15) = i⁴ × i⁴ × i⁴ × i³ = 1 × 1 × 1 × -i = -i.

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