Express each of the following as product of powers of their prime fact

1.	Express each of the following as product of powers of their prime factors a- 648b- 405
Answer» 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. #BeBrainly

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

Answer»

648 = 2³ × 3⁴

405 = 3⁴ × 5

Step-by-step explanation:

Prime factorisation of 648 -

2 | 648

2 | 324

2 | 162

3 | 81

3 | 27

3 | 9

=> 648 = 2×2×2×3×3×3×3

=> 648 = 2³ × 3⁴

Prime factorisation of 405 -

3 | 405

3 | 135

3 | 45

3 | 15

=> 405 = 3×3×3×3×5

=> 405 = 3⁴ × 5

hope it HELPS.

#BeBrainly

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