Question

Express each of the following as product of powers of their prime factors
a- 648
b- 405

Answer 1

648 = 2³ × 3⁴

405 = 3⁴ × 5

Step-by-step explanation:

a.

Prime factorisation of 648 -

2 | 648

2 | 324

2 | 162

3 | 81

3 | 27

3 | 9

3

=> 648 = 2×2×2×3×3×3×3

=> 648 = 2³ × 3⁴

b.

Prime factorisation of 405 -

3 | 405

3 | 135

3 | 45

3 | 15

5

=> 405 = 3×3×3×3×5

=> 405 = 3⁴ × 5

hope it helps.

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