Question

which of the following is equivalent to $i^{6}$?
a. -1
b. 1
c. $i$
d. $-i$

Explanation:

Step1: Recall $i^2 = -1$

$i^2 = -1$

Step2: Rewrite $i^6$ as $(i^2)^3$

$i^6 = (i^2)^3$

Step3: Substitute $i^2=-1$

$(i^2)^3 = (-1)^3$

Step4: Calculate $(-1)^3$

$(-1)^3 = -1$

Answer:

A. -1