0580/22 Feb/Mar 2021, Question 18: Fractional Indices with Letters
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks
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The question, in short
Simplify the expression (343x⁹)^(2/3), giving the result in its simplest form.
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Solution · 2 marks
- 1343 = 7³ so 343^(1/3) = 7 and 7² = 49
- 2(x⁹)^(2/3) = x^(9 × 2/3) = x⁶
- 3(343x⁹)^(2/3) = 49x⁶
Answer49x⁶
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