Question

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

Explanation:

Step1: Expand the cubed expression

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

Step2: Calculate $6^3$ and $i^3$

$6^3 = 216$, $i^3 = i^2 \times i = -1 \times i = -i$

Step3: Multiply the results

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

Answer:

A. -216i