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0580/21 May/Jun 2023, Question 17: Fractional Indices with Letters

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 2 marks

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The question, in short

Simplify the expression (81x¹²)^(3/4), giving the result in its simplest form.

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

Solution · 2 marks

  1. 181^(3/4) = (⁴√81)³ = 3³ = 27
  2. 2(x¹²)^(3/4) = x⁹
  3. 3= 27x⁹

Answer27x⁹

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