Question
Given $4725=3^\text{a}\ 5^\text{b}\ 7^\text{c}$ find,The integral values of a, b and c

Answer

Taking out the LCM of 4725, we get$3^3\times5^2\times7^1=3^\text{a}\times5^\text{b}\times7^\text{c}$
By comparing, we get$\text{a}=\text{3},\ \text{b}=2$ and $\text{c}=1.$

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