4024/12 Oct/Nov 2024, Question 20: Fractional Indices with Letters
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Simplify a power of a product involving a²⁰, then expand and simplify the product of two binomials in c and d.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 2 marks
Simplify (16a²⁰)^(3/4), giving the result in simplest form.
- 116^(3/4) = (⁴√16)³ = 2³ = 8
- 2(a²⁰)^(3/4) = a^(20 × 3/4) = a¹⁵
- 3(16a²⁰)^(3/4) = 8a¹⁵
Answer8a¹⁵
Part (b) · 2 marks
Expand and simplify (2c + 9d)(4c − 3d).
- 1(2c + 9d)(4c − 3d) = 8c² − 6cd + 36cd − 27d²
- 2= 8c² + 30cd − 27d²
Answer8c² + 30cd − 27d²
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Also searched as: 4024/12/O/N/24 · 4024_w24_qp_12 · 4024 w24 12 · question 20.
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