Solve the equation: (10 + 2) × (82 + 4) × (142 + 2) / 4 = ?
2023
Solve the equation: (10 + 2) × (82 + 4) × (142 + 2) / 4 = ?
- A.
40, 536
- B.
40,392
- C.
40899
- D.
None of the above
Show answer & explanation
Correct answer: B
Concept: To evaluate a numerical expression containing exponents, brackets, multiplication, and division, follow the standard order of operations — first evaluate any exponents, then simplify the arithmetic inside each bracket, and finally carry out multiplication and division working left to right.
Evaluate the exponents: 82 = 64 and 142 = 196.
Substitute back into each bracket: (10 + 2) = 12, (64 + 4) = 68, and (196 + 2) = 198.
Multiply the three bracket results in order: 12 × 68 = 816, then 816 × 198 = 161,568.
Divide by 4: 161,568 / 4 = 40,392.
Cross-check: divide 68 by 4 first (68 / 4 = 17), then multiply: 12 × 17 × 198 = 40,392 — the same result, confirming the answer.
So the value of the expression is 40,392.