[tex]a=5*5^2*5^3*....*5^{50} \\ \\
a=5^{(1+2+3+...+50)} \\ \\
a= 5^{ \frac{50(50+1)}{2}} \\ \\
a=5^{25*51} \\ \\
a=5^{1275} \\ \\
b=2^{3825} \\ \\
a=5^{3*425}~si~b=2^{9*425} \\ \\
a=(5^3)^{425}~si~ b=(2^9)^{425} \\ \\
a=125^{425}~si~b=512^{425} => \\ \\
=>a<b[/tex]
