0580/23 May/Jun 2022, Question 25: Exponential Equations
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
Solve the equation m^(−1/4) = 27m⁻¹ to find the value of m.
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Solution · 3 marks
- 1m^(−1/4) = 27m⁻¹
- 2Multiply by m: m^(3/4) = 27
- 3m = 27^(4/3) = (∛27)⁴ = 3⁴
- 4m = 81
Answer81
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