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Question
Express the following numbers using exponential notations:
`144/875`
Solution
For solving these type of questions, we use here prime factorisation method
Given, `144/875`
| 2 | 144 |
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
| 5 | 875 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Using prime factorisation of 144 and 875, we have
`144/875 = (2 xx 2 xx 2 xx 2 xx 3 xx 3)/(5 xx 5 xx 5 xx 7) = (2^4 xx 3^2)/(5^3 xx 7^1)`
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