Question

which expression is equivalent to (4i)²? a. 16 b. 16i c. -16 d. -16i

Explanation:

Step1: Expand the squared term

$(4i)^2 = 4^2 \times i^2$

Step2: Calculate $4^2$ and use $i^2=-1$

$4^2 = 16$, so $16 \times i^2 = 16 \times (-1)$

Step3: Compute the final product

$16 \times (-1) = -16$

Answer:

C. $-16$