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JAMB Mathematics 1982 Question 10

Question 10

Indices

Find α and β such that x3/8 × y−6/7 × (y9/7/x−45/8)1/9 = xα/yβ

  1. A.α = 1, β = 5/7
  2. B.α = 1, β = −5/7
  3. C.α = 3/5, β = −6
  4. D.α = −3/5, β = 6
  5. E.α = −3/5, β = 1/6.
Show the answer and explanation

Answer: A (α = 1, β = 5/7)

Explanation

The bracket to the power 1/9 gives y^(1/7) × x^(5/8). Then x^(3/8 + 5/8) = x¹ and y^(−6/7 + 1/7) = y^(−5/7), so the result is x/y^(5/7): α = 1, β = 5/7.