Express each of the following as product of powers of their prime factors:

(i) 540

(ii) 3,600 [2 marks]

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Solution

(i)
Factors of 540 = 2 × 2 × 3 × 3 × 3 × 5 (0.5 Marks)

= 2²× 3³ × 5 (0.5 Marks)

(ii)

Factors of 3600 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 (0.5 Marks)

= 2⁴× 3² × 5²(0.5 Marks)

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540

Question 5(iv)
Express each of the following as the product of powers of their prime factors:
(iv) 3,600

Question 5(iii)
Express each of the following as product of powers of their prime factors:
(iii) 540

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