Ta có : \(3^{75}=3^{3.25}=\left(3^3\right)^{25}=27^{25}\)
\(2^{100}=2^{4.25}=\left(2^4\right)^{25}=16^{25}\)
Vì \(27>16\)
\(\Rightarrow\)\(27^{25}>16^{25}\)
\(\Rightarrow\)\(3^{75}>2^{100}\)
Vậy \(3^{75}>2^{100}\)
Tk nha ! Happy ♡♡♡
Ta có :
\(2^{100}=\left(2^4\right)^{25}=16^{25}\)
\(3^{75}=\left(3^3\right)^{25}=27^{25}\)
Có \(27>16\)
\(\Rightarrow\)\(27^{25}>16^{25}\)
Hay \(3^{75}>2^{100}\)
\(3^{75}\)và\(2^{100}\)
\(3^{75}=\left(3^3\right)^{25}=27^{25}\)
\(2^{100}=\left(2^4\right)^{25}=16^{25}\)
\(\Rightarrow27^{25}>16^{25}\)
Vậy \(3^{75}>2^{100}\)
