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WAEC Mathematics 2025 Objective — Question 3

Question 3 of 51 from the West African Examinations Council (WAEC) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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Simplify: [(16/9)^(-3/2) x 16^(-3/4)]^(1/3).

  • A. 3/4
  • B. 9/16
  • C. 3/8
  • D. 1/4Correct

Explanation

Rewriting (16/9)^(-3/2) as (4/3)^3 and 16^(-3/4) as (4/3)^(-3) [via 2^(-3)], the expression simplifies within the outer cube root to give 1/4.

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