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JAMB Mathematics 1981 Question 26

Question 26

Indices

Simplify (62n + 1 × 9n × 42n)/(18n × 2n × 122n)

  1. A.32n
  2. B.3 × 22n−1
  3. C.2n
  4. D.6
  5. E.1
Show the answer and explanation

Answer: D (6)

Explanation

Count the powers. Of 2: top 2n + 1 + 4n = 6n + 1, bottom n + n + 4n = 6n. Of 3: top 2n + 1 + 2n = 4n + 1, bottom 2n + 2n = 4n. What is left is 2 × 3 = 6.