4MA1/1H Jun 2019, Question 10: Prime Factorization
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 2 marks
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The question, in short
Given A = 2ⁿ × 3 × 5ᵐ, express 8A as a product of prime factor powers.
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Solution · 2 marks
- 18 = 2³
- 28A = 2³ × 2ⁿ × 3 × 5ᵐ
- 3Add the powers of 2: 8A = 2³⁺ⁿ × 3 × 5ᵐ
Answer2ⁿ⁺³ × 3 × 5ᵐ
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