4024/11 Oct/Nov 2025, Question 21: Fractional and negative indices
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Evaluate 27^(−2/3), and simplify ((1/100)x¹⁰⁰)^(1/2).
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Part (a) · 2 marks
Evaluate 27^(−2/3).
- 127^(1/3) = 3, so 27^(−2/3) = 3⁻²
- 2= 1/9
Answer1/9
Part (b) · 2 marks
Simplify ((1/100)x¹⁰⁰)^(1/2).
- 1(1/100)^(1/2) = 1/10 and (x¹⁰⁰)^(1/2) = x⁵⁰
- 2= (1/10)x⁵⁰
Answer(1/10)x⁵⁰
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Also searched as: 4024/11/O/N/25 · 4024_w25_qp_11 · 4024 w25 11 · question 21.
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