5^7.25^2.125
= 5^7 . 25^2 . 5^3
= 5^7 . (5^2)^2 . 5^3
= 5^7 . 5^4 . 5^3
= 5^14
\(=5^7\cdot5^4\cdot5^3=5^{14}\)
\(5^7.25^2.125\)
\(=5^.(5^2)^. 5^3\)
\(= 5^7.5^4.5^3\)
\(=5^7\) \(^+\) \(^4\) \(^+\) \(^3\)
\(=5^1\)\(^4\)
\(\Leftrightarrow5^7.5^4.5^3\)
\(\Leftrightarrow5^{7+4+3}\)
\(\Leftrightarrow5^{14}\)