0580/21 May/Jun 2022, Question 22: Fractional Indices with Letters
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 2 marks
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The question, in short
Simplify the expression (216y^216)^(2/3) 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 · 2 marks
- 1216^(2/3) = (∛216)² = 6² = 36
- 2(y²¹⁶)^(2/3) = y¹⁴⁴
- 3= 36y¹⁴⁴
Answer36y¹⁴⁴
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