4MA1/2H Jun 2021, Question 14: Fractional Indices with Letters
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Simplify the expression (9x⁴/(16y¹⁰))^(−1/2) fully, giving the result in its simplest form.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1A negative power turns the fraction over: (16y¹⁰/(9x⁴))^(1/2)
- 2Power ½ means square root: √16 = 4 and √(y¹⁰) = y⁵
- 3√9 = 3 and √(x⁴) = x²
- 44y⁵/(3x²)
Answer4y⁵/(3x²)
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