Question

which expression is equivalent to ((6i)^{3})?
a. (-18i)
b. (216i)
c. (-216i)
d. (216)

Explanation:

Step1: Expand the power

$(6i)^3 = 6^3 \times i^3$

Step2: Calculate $6^3$

$6^3 = 6 \times 6 \times 6 = 216$

Step3: Simplify $i^3$

$i^3 = i^2 \times i = -1 \times i = -i$

Step4: Multiply results

$216 \times (-i) = -216i$

Answer:

C. -216i