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0580/23 Oct/Nov 2025, Question 9: Index Laws with Letters

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 1 mark

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The question, in short

Given n to the power 15 divided by n to the power x equals n to the power 5, find the value of x.

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

Solution · 1 mark

  1. 1n¹⁵ ÷ nˣ = n¹⁵⁻ˣ, so 15 − x = 5
  2. 2x = 10

Answer10

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