a) \(3^{86}=\left(3^2\right)^{43}=9^{43}\)
\(2^{129}=\left(2^3\right)^{43}=8^{43}\)
\(\Rightarrow9^{43}>8^{43}\)
\(\Rightarrow3^{86}>2^{129}\)
b) Ta có :
\(5^{127}>5^{126}=\left(5^3\right)^{72}=125^{72}>119^{72}\)
\(\Rightarrow5^{127}>5^{126}\text{Hoặc}125^{72}>119^{72}\)
\(\Rightarrow5^{127}>119^{72}\)
a)
Ta có:
\(3^{86}=\left(3^2\right)^{43}=9^{43}>8^{43}=\left(2^3\right)^{43}=2^{129}\)
b)
\(119^{72}< 125^{72}=5^{216}< 5^{217}\)