Giúp mình với bài tập học hè

Đáp án + Giải thích các bước giải:

`a.`

`2^2 . 3 - (1^10 + 8) : 3^2`

`= 4 . 3 - (1 + 9) : 9`

`= 12 - 9 : 9`

`= 12 - 1`

`= 11`

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`b.`

`1 + 2 + 3 + ... + 2012 + 2013`

`= [(2013 - 1) : 1 + 1] . (2013 + 1) : 2`

`= 2013 . 2014 : 2`

`= 2 027 091`

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`c.`

`6^2 : 43 + 2 . 5^2`

`= 36 : 43 + 2 . 25`

`= 36/43 + 50`

`= 2186/43`

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`d.`

`2008 . 213 + 87 . 2008`

`= 2008 . (213 + 87)`

`= 2008 . 300`

`= 602 400`

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`e.`

`12 : {390 : [500 - (125 + 35 . 7)]}`

`= 12 : {390 : [500 - (125 + 245)]}`

`= 12 : {390 : [500 - 370]}`

`= 12 : {390 : 130}`

`= 12 : 3`

`= 4`

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`f.`

`3^3 . 118 - 3^3 . 18`

`= 3^3 . (118 - 18)`

`= 27 . 100`

`= 2700`

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`g.`

`2007 . 75 + 25 . 2007`

`= 2007 . (75 + 25)`

`= 2007 . 100`

`= 200700`

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`h.`

`15 . 2^3 + 4 . 3 - 5 . 7`

`= 15 . 8 + 12 - 35`

`= 120 + 12 - 35`

`= 59`
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`i.`

`150 - [10^2 - (14 - 11)^2 . 2007^0]`

`= 150 - [10^2 - 3^2 . 1]`

`= 150 - [100 - 9]`

`= 150 - 91`

`= 41`

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`j.`

`4 . 5^2 - 3 . 2^3`

`= 4 . 25 - 3 . 8`

`= 100 - 24`

`= 76`

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`k.`

`28 . 76 + 13 . 28 + 11 . 28`

`= 28 . (76 + 13 + 11)`

`= 28 . 100`

`= 2800`

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`l.`

`4^8 : 4^5 - (1^30 + 17) : 3^2`

`= 4^3 - (1 + 17) : 9`

`= 64 - 18 : 9`

`= 64 - 2`

`= 62`