Question

so sánh 2^250 vs 3^100so sánh 2^250 vs 3^100

Answer 1

2²⁵⁰ > 3¹⁰⁰

Answer 2

Ta có :

`2^250 = ( 2^2 )^{125} = 4^{125}`

Do `3^{100} < 4^{100}<4^{125} => 3^{100}<4^{125}=>2^{250}>3^{100}`

Vậy `2^{250}>3^{100}`

Answer 3

Xét 2⁵>2⁴=16 mà 16>9=3²

⇒ 2⁵>3²

⇒ (2⁵)⁵⁰>(3²)⁵⁰

⇒ 2²⁵⁰>3¹⁰⁰

Vậy 2²⁵⁰>3¹⁰⁰