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JAMB Mathematics 1998 Question 3

Question 3

Indices

If b3 = a−2 and c1/3 = a1/2b, express c in terms of a.

  1. A.a−1/2
  2. B.a1/2
  3. C.a3/2
  4. D.a−2/3
Show the answer and explanation

Answer: A (a−1/2)

Explanation

b = a^(−2/3), so c^(1/3) = a^(1/2) × a^(−2/3) = a^(−1/6). Cubing gives c = a^(−1/2).