Đáp án+Giải thích các bước giải:
`A=1010^1010/2010^2010`
Có:
`2010^1000=[1010^1010. 2010^1000]/[2010^2010]=(101/201)^1010`
`B=[2010^2010]/3010^3010`
Có:
`2010^1000=[2010^2010. 201^1000]/3010^3010=(201/301)^3010`
Từ
`+)101/201>40401/90601=(201/301)^2`
`+)201/301<1`
Ta có:
`(101/201)^1010>(201/301)^2.1010=(201/301)^2020>(201/301)^3010`
`=>A=(101/201)^1010. 1/2010^1000>(201/301)^3010. 1/2010^1000=B`
Vậy `A>B`