0580/43 May/Jun 2025, Question 9: Index Laws with Letters
Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 3 marks
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The question, in short
Simplify the product 5x⁵y × 7x³y², then find the value of n in the equation 7ⁿ = ⁵√7.
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Part (a) · 2 marks
Simplify the expression 5x⁵y × 7x³y², giving the result in its simplest form.
- 15 × 7 = 35, x⁵ × x³ = x⁸, y × y² = y³
- 2= 35x⁸y³
Answer35x⁸y³
Part (b) · 1 mark
Find the value of n that satisfies 7ⁿ = ⁵√7.
- 1⁵√7 = 7^(1/5)
- 2n = 1/5
Answer1/5
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