Question

1125=3^m×5^n. find m and n

Answer 1

Hope u like my process
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--> 1125 = 3^m × 5^n
or, 125 × 9 = 3^m × 5^n
or, 5^3 ×3² = 3^m × 5^n

So,... Comparing we get,

m = 2 and n = 3
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Hope this is ur required answer
Proud to help you

Answer 2

1125 = 5 × 3 × 5 × 3 × 5

$5 {}^{3} \times 3 {}^{2} = 3 {}^{m} \times 5 {}^{n}$

On comparing powers

m = 2

n = 3


Thanks