Concept:Cube roots can be combined and simplified by factoring the numbers into prime factors.Explanation:First, factor 2688 and 1764.2688 = 27 × 3 × 71764 = 22 × 32 × 72The cube root of a negative number is negative. So ∛(-2688) = –∛(2688).Combine the two cube roots: –∛(2688 × 1764) = –∛(29 × 33 × 73)Take the cube root: –(23 × 3 × 7) = – (8 × 3 × 7) = –168Now the equation is –168 = 24 × z.Solve for z: z = –168 ÷ 24 = –7Answer:z = –7 (Option A)