0580/21 Oct/Nov 2025, Question 6: Fractional Indices
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 3 marks
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The question, in short
Evaluate two expressions involving powers: a product of powers of 5, and 125 raised to the power 2/3.
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Part (a) · 1 mark
Find the value of 5⁻⁵ × 5⁵.
- 15⁻⁵ × 5⁵ = 5⁻⁵⁺⁵ = 5⁰ = 1
Answer1
Part (b) · 2 marks
Find the value of 125^(2/3).
- 1125^(2/3) = (∛125)²
- 2∛125 = 5
- 35² = 25
Answer25
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