Question

select the correct answer.
which expression is equivalent to the given expression?
$(-4abc)^3$
$64a^3b^3c^3$
$12a^3bc$
$-64a^3b^3c^3$
$-12a^3b^3c^3$

Explanation:

Step1: Expand the constant term

$(-4)^3 = -4 \times -4 \times -4 = -64$

Step2: Expand variable terms

$(a)^3 = a^3$, $(b)^3 = b^3$, $(c)^3 = c^3$

Step3: Combine all terms

Multiply the expanded constant and variables together.
$\text{Result} = -64 \times a^3 \times b^3 \times c^3$

Answer:

$-64a^3b^3c^3$ (corresponding to the third option)