0580/22 May/Jun 2025, Question 17: Fractional Indices
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 4 marks
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The question, in short
Work out the values of two numerical expressions involving fractional and negative indices.
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Part (a) · 2 marks
Calculate 125^(2/3).
- 1125^(2/3) = (∛125)²
- 2= 5² = 25
Answer25
Part (b) · 2 marks
Calculate 4^(−5/2).
- 14^(−5/2) = 1/4^(5/2) = 1/(√4)⁵
- 2= 1/2⁵ = 1/32
Answer1/32
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Also searched as: 0580/22/M/J/25 · 0580_s25_qp_22 · 0580 s25 22 · question 17.
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