0580/22 Oct/Nov 2025, Question 14: Laws of Indices
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 4 marks
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The question, in short
Work out the value of two numerical expressions involving indices: 3² ÷ 3⁻² and 16^(−3/2).
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Part (a) · 2 marks
Evaluate 3² ÷ 3⁻², giving the value.
- 13² ÷ 3⁻² = 3²⁻⁽⁻²⁾ = 3⁴
- 2= 81
Answer81
Part (b) · 2 marks
Evaluate 16^(−3/2), giving the value.
- 116^(−3/2) = 1/(√16)³
- 2= 1/4³ = 1/64
Answer1/64
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