Question

[duyên]

so sánh 

202³⁰³ và 303²⁰²

Answer 1

[nhoc quay pha]

202³⁰³=(202³)¹⁰¹

303²⁰²=(303²)¹⁰¹

ta có:

202³⁼2³.101³⁼8.101³=808.101²

303²=3².101²⁼9.101²=9.101²

vì 808>9

=> 202³>303²

=> 202³⁰³>303²⁰²

Answer 2

[Lê Nguyên Hạo]

\(202^{203}=\left(2.101\right)^{3.101}=\left(1^3.101^3\right)^{101}=\left(8.101.10^{12}\right)^{101}=\left(808.1012\right)^{101}\)

\(303^{202}=\left(3.101\right)^{2.101}=\left(32.101^2\right)^{101}=\left(9.101^2\right)^{101}\)

\(\Rightarrow\left(80^{ }8.101^2\right)>\left(9.101^2\right)\)

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