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0580/43 Oct/Nov 2025, Question 13: Exponential Functions

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 3 marks

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The question, in short

Point (5, 1024) lies on y = cˣ with whole-number c. Find the y-coordinate at x = −2.

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

Solution · 3 marks

  1. 11024 = c⁵
  2. 2c = ⁵√1024 = 4
  3. 3y = 4⁻² = 1/16 = 0.0625

Answer0.0625 or 1/16

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