WAEC Further Mathematics 2012 Question 7

Question 7

Indices and Logarithms

Simplify x3n+1/(x2n+5/2√(x2n−3))

  1. A.0
  2. B.1/2
  3. C.1
  4. D.10
Show the answer and explanation

Answer: C (1)

Explanation

√(x2n−3) = xn−3/2, so the denominator is x2n+5/2+n−3/2 = x3n+1. The fraction equals 1.