0580/22 Feb/Mar 2023, Question 15: 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 (3125w³¹²⁵)^(1/5), giving the result in its simplest form.
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Solution · 2 marks
- 13125^(1/5) = 5, since 5⁵ = 3125
- 2Power of a power: (w³¹²⁵)^(1/5) = w^(3125 ÷ 5) = w⁶²⁵
- 35w⁶²⁵
Answer5w⁶²⁵
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