0580/21 May/Jun 2026, Question 20: Fractional Indices
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 4 marks
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The question, in short
Evaluate the expression 27^(−2/3) × (6⁴)^0.5, showing the value obtained.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 127^(1/3) = 3, so 27^(2/3) = 9
- 227^(−2/3) = 1/9
- 3(6⁴)⁰.5 = 6² = 36
- 41/9 × 36 = 4
Answer4
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