\(4^{50}=\left(2^2\right)^{50}=2^{100}\)
\(8^{23}=\left(2^3\right)^{23}=2^{69}\)
Vì: \(100>69\Rightarrow2^{100}>2^{69}\Rightarrow4^{50}>8^{23}\)
4 ^50=(2^2)^50=2 ^100
8^23=(2^3)^23=2^69
Ta có 2^100>2^69 =>4^50 > 8^23
Vậy 4^50 > 8^12
\(4^{50}=\left(2^2\right)^{50}\)
\(=2^{2.50}=2^{100}\)
\(8^{23}=\left(2^3\right)^{23}\)
\(=2^{3.23}=2^{69}\)
Do \(100>69\)nên \(2^{100}>2^{69}\) hay \(4^{50}>8^{23}\)