The value of m and n in 1125=3m×5n is {fill _number} and {fill _number}.

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The value of m and n in $1125 = 3^{m} \times 5^{n}$ is {fill _number} and {fill _number}.

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Detailed Solution

Concept- The values are 2 and 3 respectively. Writing any number as the product of its many factors—typically prime factors—is a procedure known as factorisation.
To determine factors of the given number

1125,

We utilize the factorization method in this instance.
Then, we multiply this number by each of its factors to write it down. We combine all the powers with the same base together because they can all be added when the basis is the same.
We use