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WMA11/01 Jun 2025, Question 1: Fractional Indices

Pearson Edexcel International AS Level Mathematics · Pure Mathematics 1 (WMA11) · Calculator · 5 marks

The question, in short

Given p = (1/16)x⁴ and q = 40/x³, rewrite three expressions in the form kxⁿ with k and n fully simplified constants.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Express p^(1/2) in the form kxⁿ, simplifying k and n.

  1. 1p^(1/2) = (1/16)^(1/2) × (x⁴)^(1/2)
  2. 2= (1/4)x²

Answer(1/4)x²

Part (b) · 2 marks

Express (pq)⁻¹ in the form kxⁿ, simplifying k and n.

  1. 1pq = (1/16)x⁴ × 40/x³ = (40/16)x = (5/2)x
  2. 2(pq)⁻¹ = ((5/2)x)⁻¹ = (2/5)x⁻¹

Answer(2/5)x⁻¹

Part (c) · 2 marks

Express pq² in the form kxⁿ, simplifying k and n.

  1. 1q² = 1600/x⁶
  2. 2pq² = (1/16)x⁴ × 1600x⁻⁶
  3. 3= 100x⁻²

Answer100x⁻²

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Also searched as: WMA11 June 2025 · WMA11/01 · wma11 jun25 · IAS Maths Pure Mathematics 1 June 2025 · question 1.
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