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WAEC Mathematics 2016 Objective — Question 7

Question 7 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

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7. Simplify (3^(n-1) × 27^(n+1)) / 81^n. A. 3^2n B. 9 C. 3^n D. 3^(n+1)

  • A. 3^2n
  • B. 9Correct
  • C. 3^n
  • D. 3^(n+1)

Explanation

3^(n-1)×3^(3n+3) / 3^(4n) = 3^((n-1)+(3n+3)-4n) = 3^2 = 9.

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