0580/21 Oct/Nov 2022, Question 17: 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 (3125x³¹²⁵)^(1/5), giving the result in its simplest form.
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Solution · 2 marks
- 13125^(1/5) = 5, because 5⁵ = 3125
- 2(x³¹²⁵)^(1/5) = x to the power 3125 ÷ 5 = x⁶²⁵
- 3So the answer is 5x⁶²⁵
Answer5x⁶²⁵
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