Evaluate: (12)³ × 64 ÷ 432

Given data

• Expression: (12)³ × 64 ÷ 432

Concept / Approach

• Simplify using factor cancellation before multiplying to avoid large numbers.

Step-by-step calculation

12³ = 12 × 12 × 12 = 1728(1728 × 64) ÷ 432 = (1728 ÷ 432) × 641728 ÷ 432 = 4Therefore value = 4 × 64 = 256

Verification / Alternative

432 = 27 × 16; also 64 ÷ 16 = 4; expression = 12³ × 4 ÷ 27 = 1728 × 4 ÷ 27 = 6912 ÷ 27 = 256.

Common pitfalls

• Multiplying first then dividing can invite arithmetic errors. Cancel common factors early.

Final Answer

256