Question

So sánh 202³⁰³ và 303²⁰²

tick ai đầy đủ và nhanh nhất nhưng phải đúng

Answer 1

Ta có :

\(202^{303}=\left(202^3\right)^{101}=8242408^{101}\)

\(303^{202}=\left(303^2\right)^{101}=91809^{101}\)

\(\Rightarrow202^{303}>303^{202}\)

Answer 2

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

Answer 3

ta có:

202³⁰³=(202³)¹⁰¹=8242408¹⁰¹

303²⁰²=(303²)¹⁰¹=91809¹⁰¹

vì 8242408>91809 =>8242408¹⁰¹>91809¹⁰¹ hay 202³⁰³>303²⁰²

Answer 4

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 \(808>9\Rightarrow202^3>303^2\)

\(\Rightarrow202^{303}>303^{202}\)