Question

So sánh: 2³⁰⁰ và 3²⁰⁰

Giúp mk nha

Answer 1

2^300 = (2^3)^100 = 8^100

3^200 = (3^2)^100 = 9^100

Vì 8<9 => 8^100 < 9^100 

Vậy 2^300 < 3^200

Answer 2

Ta có:

2³⁰⁰=2^3.100=8¹⁰⁰

3²⁰⁰=3^2.100=9¹⁰⁰

Dễ thấy 9¹⁰⁰>8¹⁰⁰=> 2³⁰⁰<3²⁰⁰

Answer 3

2^300=(2^3)^100=8^100

3^200=(3^2)100=9^100

Vi 8<9 nen 8^100<9^100

hay 2^300<3^200

Answer 4

ta có :

\(2^{300}\)=(\(2^3\))\(^{100}\)=\(8^{100}\)

\(3^{200}\)=(\(3^2\))\(^{100}\)=9\(^{100}\)

Mà 8\(^{100}\)< 9\(^{100}\)=> 2\(^{300}\)< 3\(^{200}\)