Bài 1: (1,5 điểm) Thực hiện phép tính: a) (2$\frac{5}{6}$ + 1$\frac{4}{9}$) : (10$\frac{1}{12}$ - 9,5) b) $\frac{32^{3}.9^{5}}{8^{3}.6^{6}}$ c) $\sqrt{64}$ + 2$\sqrt{(-3)²}$ - 8.$\sqrt{\frac{25}{16}}$ d) |$\frac{1}{-5}$| - $\frac{(-2)²}{|-5|}$ - $\frac{|2|}{5}$

`a)`

`(2{5}/6+1{4}/9):(10{1}/12-9,5)`

`=(17/6+13/9):(121/12-19/2)`

`=(51/18+26/18):(121/12-114/12)`

`=77/18:7/12`

`=77/18. 12/7`

`=22/3`

`b)`

`{32^3 . 9^5}/{8^3 . 6^6}`

`={(2^5)^3 . (3^2)^5}/{(2^3)^3.(2.3)^6}`

`={2^{5.3} . 3^{2.5}}/{2^{3.3}.2^6. 3^6}`

`={2^{15} . 3^{10}}/{2^9 .2^6 .3^6}`

`={2^{15} . 3^{10}}/{2^{9+6} . 3^6}`

`={2^{15} . 3^{10}}/{2^{15}.3^6}`

`={3^10}/{3^6}`

`=3^{10-6}=3^4=81`

`c)`

`sqrt{64}+2sqrt{(-3)^2}-8.sqrt{25/16}`

`=sqrt{8^2}+2.sqrt{3^2}-8.sqrt{(15/4)^2}`

`=8+2.3-8. 5/4`

`=8+6-10`

`=14-10`

`=4`

`d)`

`|1/{-5}|-{(-2)^2}/{|-5|}-{|2|}/5`

`=1/5-4/5-2/5`

`={-5}/5`

`=-1`