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प्रश्न
If 1125 = 3m x 5n, find m and n
योग
उत्तर
1125 = 32 x 53
The factor of 1125 are 3 x 3 x 5 x 5 x 5
3 | 1125 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
`therefore` 1125 = 3 x 3 x 5 x 5 x 5
Now comparing, 32 x 53 = 3m x 5n
`therefore` m = 2, n = 3
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Law of Exponents (For Integral Powers)
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