0580/32 May/Jun 2026, Question 13: Zero and Negative Indices
Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 2 marks
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The question, in short
Solve two short index problems: find y from 8ʸ = 1, and find w from x⁴ × x⁵ = xʷ.
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Part (a) · 1 mark
Find the value of y that makes 8ʸ equal to 1.
- 1Any non-zero number to the power 0 is 1
- 28⁰ = 1, so y = 0
Answer0
Part (b) · 1 mark
Find the value of w in x⁴ × x⁵ = xʷ.
- 1Add the powers when multiplying
- 2x⁴ × x⁵ = x⁴⁺⁵ = x⁹, so w = 9
Answer9
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Also searched as: 0580/32/M/J/26 · 0580_s26_qp_32 · 0580 s26 32 · question 13.
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