Ta có :
\(202^{303}=\left(202^3\right)^{101}=8242408^{101}\)
\(303^{202}=\left(303^2\right)^{101}=91809^{101}\)
\(\Rightarrow202^{303}>303^{202}\)
202^303=(202^3)^101=8242408^101
303^202=(303^2)^101=91809^101
vì 8242408>91809 nên 8242408^101>91809^101
=>202^303>303^202
ta có:
202303=(2023)101=8242408101
303202=(3032)101=91809101
vì 8242408>91809 =>8242408101>91809101 hay 202303>303202
Ta có:
\(202^{303}=202^{101\times3}=\left(202^3\right)^{101}\)
\(303^{202}=303^{101\times2}=\left(303^2\right)^{101}\)
Ta so sánh:\(202^3\) và\(303^2\)
\(202^3=\left(101\times2\right)^3=101^3\times2^3=101^2\times808\)
\(303^2=\left(101\times3\right)^2=101^2\times9\)
Vì \(808>9\Rightarrow202^3>303^2\)
\(\Rightarrow202^{303}>303^{202}\)