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4MA1/1HR Jan 2022, Question 9: Index Laws with Letters

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 5 marks

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The question, in short

Simplify two algebraic products involving powers and factorise a quadratic expression in n.

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

Part (a) · 1 mark

Simplify x⁴ × x⁵.

  1. 1Multiplying powers of x adds the indices: x⁴⁺⁵ = x⁹

Answerx⁹

Part (b) · 2 marks

Simplify (4y²)³.

  1. 1(4y²)³ = 4³ × (y²)³
  2. 24³ = 64 and (y²)³ = y⁶
  3. 3Answer: 64y⁶

Answer64y⁶

Part (c) · 2 marks

Factorise n² − 7n + 12.

  1. 1Find two numbers that multiply to 12 and add to −7
  2. 2−3 and −4
  3. 3(n − 3)(n − 4)

Answer(n − 3)(n − 4)

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