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0580/21 May/Jun 2025, Question 19: Fractional Indices

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 2 marks

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The question, in short

Work out the value of 27 raised to the power −2/3.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 2 marks

  1. 127^(1/3) = 3
  2. 227^(2/3) = 3² = 9
  3. 327^(−2/3) = 1/9

Answer1/9

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