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4024/12 May/Jun 2020, Question 21: Zero and Negative Indices with Letters

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks

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The question, in short

Simplify the expression ((2x²)/x⁵) raised to the power −3, giving the result in simplified form.

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

Solution · 2 marks

  1. 12x²/x⁵ = 2/x³
  2. 2(2/x³)⁻³ = (x³/2)³
  3. 3= x⁹/8

Answerx⁹/8

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