(3p²qr³) × (–4p³qr²) × (7pq³r) बराबर है:

Question

(3p²qr³) × (–4p³qr²) × (7pq³r) बराबर है:

1. A. 84 p⁶q⁶r⁶
2. B. 84 p⁶q⁵S⁵
3. C. –84 p⁶q⁵r⁶ (Correct answer)
4. D. –84 p⁶q⁵r⁵

Correct Answer

Option C — –84 p⁶q⁵r⁶

Detailed Solution & Explanation

The correct answer is –84 p⁶q⁵r⁶.

Key Points

• Coefficients: 3 × (−4) × 7 = −84.
• Powers add when like bases multiply:
  • p: 2 + 3 + 1 = 6
  • q: 1 + 1 + 3 = 5
  • r: 3 + 2 + 1 = 6
• Result: −84 p⁶q⁵r⁶.

Exam Tip

• The sign is decided by the count of negative factors — one negative here, so the product is negative. Check the q and r powers carefully; the distractors differ only in those exponents.