\(25^2\cdot2^4=5^{2^2}\cdot2^4=5^4\cdot2 ^4=10^4\)
\(3^8=\left(3^2\right)^4=9^4\)
\(10^4>9^4\Rightarrow25^2\cdot2^4>3^8\)
\(25^2\times2^4\) và \(3^8\)
Ta có:
\(25^2\times2^4=625\times16=10000\)
\(3^8=6561\)
Vì: 10000 > 6561
=> \(25^2\times2^4>3^8\)