WMA11/01 Jan 2019, Question 2: Fractional Indices
Pearson Edexcel International AS Level Mathematics · Pure Mathematics 1 (WMA11) · Calculator · 3 marks
The question, in short
Using the equation 3ˣ ÷ 3⁴ʸ = 27√3, express y in terms of x in its simplest form.
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Solution · 3 marks
- 1Write both sides as powers of 3: 3ˣ⁻⁴ʸ = 3³ × 3^(1/2) = 3^(7/2)
- 2Equate powers: x − 4y = 7/2
- 3Make y the subject: y = (1/4)x − 7/8
Answery = (1/4)x − 7/8
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