Question

1125 = 3m×5n,find m and n​

Answer 1

Answer :

M = 2 and n =3

3^2 = 9

5^3 =125

9 *125 = 1125

I Hope this helped

Answer 2

Answer :- m= 2 and n = 3.

Explanation :-

Given :-

If 1125= 3^m*5^n. find m and n

$\begin{gathered} \begin{array}{r | l} 5 & 1125 \\ {2-2} 5 & 225 \\ {2-2} 5 & 45 \\ {2-2} 3 & 9 \\ {2-2} 3 & 3 \\ {2-2} & 1 \end{array} \end{gathered}$

LCM is :-

${5}^{3} \times {3}^{2}$

$1125 = {3}^{m} \times {5}^{n}$

On comparison :-

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

Hence, m= 2 and n = 3.