4MA1/2HR Jan 2021, Question 4: Index Laws with Letters
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks
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The question, in short
Simplify two algebraic expressions: a power of a product, and a division involving negative indices.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 2 marks
Simplify (3k²)⁴, giving the result in its simplest index form.
- 1(3k²)⁴ = 3⁴ × (k²)⁴
- 23⁴ = 81 and (k²)⁴ = k⁸
- 3Answer: 81k⁸
Answer81k⁸
Part (b) · 2 marks
Simplify (21m⁴n) ÷ (3n⁻⁵), leaving the answer with positive indices.
- 121 ÷ 3 = 7, and m⁴ stays as it is
- 2n ÷ n⁻⁵ = n^(1 − (−5)) = n⁶
- 3Answer: 7m⁴n⁶
Answer7m⁴n⁶
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