Ответ:
\(129600=1296\cdot100=(2^4\cdot3^4)(2^2\cdot5^2)=2^6\cdot3^4\cdot5^2\).
\(\sqrt{129600}=\sqrt{2^6\cdot3^4\cdot5^2}=2^3\cdot3^2\cdot5=360\).
Javob: a) \(129600=2^6\cdot3^4\cdot5^2\); b) 360 m/s.
\(129600=1296\cdot100=(2^4\cdot3^4)(2^2\cdot5^2)=2^6\cdot3^4\cdot5^2\).
\(\sqrt{129600}=\sqrt{2^6\cdot3^4\cdot5^2}=2^3\cdot3^2\cdot5=360\).
Javob: a) \(129600=2^6\cdot3^4\cdot5^2\); b) 360 m/s.