4024/12 May/Jun 2026, Question 23: Fractional and negative indices
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Solve 27^(−4/3) = 9ˣ for x.
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Solution · 3 marks
- 127^(1/3) = 3, so 27^(−4/3) = 3⁻⁴
- 29ˣ = 3²ˣ
- 32x = −4
- 4x = −2
Answer−2
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Also searched as: 4024/12/M/J/26 · 4024_s26_qp_12 · 4024 s26 12 · question 23.
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