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4MA1/1HR Jun 2019, Question 9: Index Laws with Letters

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

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The question, in short

Simplify three algebraic expressions involving powers: a division of t terms, a product of w terms, and a cubed bracket with coefficients and y squared.

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

Part (a) · 1 mark

Simplify t to the power 9 divided by t to the power 3.

  1. 1When dividing, subtract the powers: t⁹⁻³
  2. 2t⁶

Answert⁶

Part (b) · 1 mark

Simplify w to the power 5 multiplied by w to the power 7.

  1. 1When multiplying, add the powers: w⁵⁺⁷
  2. 2w¹²

Answerw¹²

Part (c) · 2 marks

Simplify the cube of 5xy², giving the coefficient and powers.

  1. 1(5xy²)³ = 5³ × x³ × (y²)³
  2. 2125 × x³ × y⁶ = 125x³y⁶

Answer125x³y⁶

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