4MA1/1FR Jan 2023, Question 18: Index Laws with Letters
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 3 marks
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The question, in short
Simplify two algebraic expressions involving powers: a quotient of w terms and a product of m and p terms.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Simplify w¹² ÷ w³.
- 1w¹² ÷ w³ = w^(12-3)
- 2w⁹
Answerw⁹
Part (b) · 2 marks
Simplify 5m⁴p² × 2m³p.
- 1Multiply the numbers: 5 × 2 = 10
- 2Add the powers: m⁴ × m³ = m⁷ and p² × p = p³
- 3Answer: 10m⁷p³
Answer10m⁷p³
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