$\color{#246483}{S}\color{#34768F} {u}\color{#44889B}{g}\color{#539AA7}{i}\color{#63ACB3} {e}\color{#73BEBF}{e}$

`1) 3^2 . 10^3 - [13^2 - (5^2 . 4 + 2^2 . 15)]`

`= 9 . 1 000 - [169 - (25 . 4 + 4 . 15)]`

`= 9 . 1 000 - [169 - 4 . (25 + 15)]`

`= 9 . 1 000 - [169 - 4 . 40]`

`= 9 . 1 000 - [169 - 160]`

`= 9 . 1 000 - 9`

`= 9 000 - 9`

`= 8 991`

`2) 169 . 2011^0 - 17 . (83 - 1702 : 23 + 1) + 2^7 : 2^4`

`= 169 . 1 - 17 (83 - 74 + 1) + 2^3`

`= 169 . 1 - 17 . (9 + 1) + 8`

`= 169 . 1 - 17 . 10 +8`

`= 169 - 170 + 8`

`= (-1) + 8`

`= 7`

`3) 2^3 . 15 . [115 - (12 - 5)^2]`

`= 8 . 15 .[115 - 7^2]`

`= 8 .15 . [115 - 49]`

`= 8 .15 . 66`

`= 120 . 66`

`= 7 920`

`4) 1449 - {[(216 + 184) : 8] . 9}`

`= 1449 - {[400 : 8] . 9}`

`= 1449 - {50 .9}`

`= 1449 - 450`

`= 999`