0580/43 May/Jun 2025, Question 12: Exponential Equations
Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 3 marks
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The question, in short
Simplify the square root of a quotient of powers of 10 and find the exponent k in the form 10ᵏ.
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Solution · 3 marks
- 110²²⁰ × 10⁸⁰ = 10³⁰⁰
- 210⁴⁰⁰ ÷ 10³⁰⁰ = 10¹⁰⁰
- 3√(10¹⁰⁰) = 10⁵⁰
- 4k = 50
Answer50
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