Question

so sánh \(2016^{2017}\&2017^{2016}\)

Answer 1

Ta có:\(2016^{2017}=1436794044317713404547112948964984445315212327986280367179516....\)

Và \(2017^{2016}=1936826849496145634382648429150335797303477429244586882899362..\)

So sánh 2 số trên ta có

Answer 2

\(2016^{2017}=\left(2016^{2,017}\right)^{1000}\)

\(2017^{2016}=\left(2017^{2,016}\right)^{1000}\)

Ta có \(2016^{2,017}-2017^{2,016}=30469,58759=>2016^{2,017}>2017^{2,016}\)

=> \(2016^{2017}>2017^{2016}\)

Answer 3