`\color{#9400D3}{-k} \color{#800080}{o} \color{#4B0082}{r} \color{#00008B}{e} \color{#0000CD}{a} \color{#0000FF}{a} \color{#1E90FF}{a-}`

`A = (125^232 × 15^3 + 15^32 × 5^92) : (108 × 5^122) `

`= ( (5^3)^232 × (3×5)^3 + (3×5)^32 × 5^92 ) : (2^2 × 3^3 × 5^122 ) `

`= ( 5^696 × 3^3 × 5^3 + 3^32 × 5^32 × 5^92 ) : ( 2^2 × 3^3 × 5^122 ) `

`= ( 3^3 × 5^699 + 3^32 × 5^124 ) : ( 2^2 × 3^3 × 5^122 )`

`= ( 3^3 × 5^122 × 5^577 + 3^32 × 5^122 ) : ( 2^2 × 3^3 × 5^122 )`

`= 5^122 × (3^3 × 5^577 + 3^32) : (2^2 × 3^3 × 5^122)`

`= (3^3 × 5^577 + 3^32) : (4 × 3^3) `

`= (5^577 + 3^29) : 4`