4024/11 May/Jun 2023, Question 25: Fractional Indices with Letters
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 2 marks
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The question, in short
Given (axᵇ)³ = 27x⁴, find the values of the constants a and b.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1(axᵇ)³ = a³x³ᵇ = 27x⁴
- 2a³ = 27, so a = 3
- 33b = 4, so b = 4/3
- 4a = 3, b = 4/3
Answera = 3, b = 4/3
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