Bài `1:`

`a) ((-7)/12+0,25) :2/3`

`= (-7/12+1/4) :2/3`

`= (-7/12+3/12) :2/3`

`= -1/3:2/3`

`= -1/3*3/2`

`= -1/2`

`b) sqrt{4/9} +((-1)/2)^3 - |(-3)/11| * 11/8`

`= 2/3 - 1/8 - 3/11 * 11/8`

`= 2/3 - 1/8 - 3/8`

`= 2/3 - 1/2`

`= 1/6`

`c) 5/6 - 2021^0 + (3/2)^2 : |(-9)/4| + sqrt{25/9}`

`= 5/6-1+9/4:9/4+5/3`

`= 5/6-1+1+5/3`

`= 5/6+5/3`

`= 5/2`

`d) 2022-(-7/121)^0 + (-1/3)^2 . 9`

`= 2022-1+1/9*9`

`= 2022-1+1`

`= 2022`

`e) (6^13 - 3 . 6^12 + 3^13)/(9^5(4^6 + 1))`

`= ((2.3)^13 - 3 . (2.3)^12 +3^13)/(9^5(4^6+1))`

`= (2^13 . 3^13 - 3 . 2^12 . 3^12 + 3^13)/(9^5(4^6+1))`

`= (2^13 . 3^13 - 3^13 . 2^12 + 3^13)/(9^5(4^6+1))`

`= (3^13(2^13 - 2^12+1))/(9^5(4^6+1))`

`= (3^13(2^13 - 2^12+1))/((3^2)^5(2^13-2^12+1))`

`= (3^13(2^13-2^12+1))/(3^10(2^13-2^12+1))`

`= 3^3=27`

`f) (27^15 + 27^5)/(27^14+9^6)`

`= ((3^3)^15 + (3^3)^5)/((3^3)^14 + (3^2)^6)`

`= (3^45 + 3^15)/(3^42 + 3^12)`

`= (3^15(3^30+1))/(3^12(3^30+1))`

`= 3^3=27`

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