4024/12 May/Jun 2024, Question 18: Fractional Indices with Letters
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Evaluate a negative fractional power of 125, then simplify an algebraic fraction raised to the power 3/2.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Work out 125 raised to the power −1/3.
- 1125^(1/3) = ∛125 = 5
- 2125^(−1/3) = 1/5
Answer1/5 or 0.2
Part (b) · 2 marks
Simplify (a³ ÷ 4a) raised to the power 3/2.
- 1a³/(4a) = a²/4
- 2(a²/4)^(3/2) = (a²)^(3/2)/4^(3/2) = a³/(√4)³
- 3= a³/8
Answera³/8
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Also searched as: 4024/12/M/J/24 · 4024_s24_qp_12 · 4024 s24 12 · question 18.
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