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