giúp giúp giúp giúp giúp giúp giúp giúp nha

`text{Đáp án + Giải thích các bước giải:}`

`P = 2^100 + 2^99 + ....... + 2^2 + 2 `

`2P = 2^101 + 2^100 + ......... + 2^3 + 2^2`

`2P - P = (2^101 + 2^100 + ......... + 2^3 + 2^2) - (2^100 + 2^99 + ....... + 2^2 + 2 ) `

`P = 2^101 - 2`

`A = 1 + 3 + 3^2 + .... + 3^99 + 3^100`

`3A = 3 + 3^2 + 3^3 + ......... + 3^100 + 3^101`

`3A - A = (3 + 3^2 + 3^3 + ......... + 3^100 + 3^101) - (1 + 3 + 3^2 + .... + 3^99 + 3^100)`

`2A = 3^101 - 1`

`A = (3^101 - 1)/2`

`B = 2^100 - 2^99 + 2^98 - 2^97 + ......... - 2^3 + 2^2 - 2 + 1`

`2B = 2^101 - 2^100 + 2^99 - 2^98 + ........ -2^4 + 2^3 - 2^2 + 2 `

`2B + B = (2^101 - 2^100 + 2^99 - 2^98 + ........ - 2^4 + 2^3 - 2^2 + 2 ) + (2^100 - 2^99 + 2^98 - 2^97 + ......... - 2^3 + 2^2 - 2 + 1 )`

`3B = 2^101 + 1 `

`3B = 2(2^99 + 1)`

`B = {2(2^99 + 1)}/3`

`Q = 2 . 4 . 8 . 16 . 32 . 64 . 128 . 256 . 512 . 1024 : 2^52`

`Q = 2^1 . 2^2 . 2^3 . 2^4 . 2^5 . 2^6 . 2^7 . 2^8 . 2^9 . 2^10 : 2^52`

`Q = 2^{(10 + 1) . [(10 - 1) : 1 + 1] : 2} : 2^52`

`Q = 2^55 : 2^52`

`Q = 2^3`