Bài 1: (2,0 điểm) Thực hiện phép tính: a) (-$\frac{3}{4}$ + $\frac{2}{3}$) : $\frac{5}{11}$ + (-$\frac{1}{4}$ + $\frac{1}{3}$) : $\frac{5}{11}$ b) $\frac{27^{10}.16^{25}}{6^{30}.32^{15}}$ c) |$\frac{3}{5}$ - $\frac{1}{10}$| - $\sqrt{\frac{36}{25}}$ + $(\frac{3}{10})^{5}$ : $(\frac{3}{10})^{4}$ d) $\sqrt{144}$ + $\sqrt{49}$ - 10$\sqrt{\frac{4}{25}}$

Giải thích các bước giải:

`a) ( -3/4 + 2/3 ) : 5/11 + (-1/4 + 1/3 ) : 5/11`

`= 11/5 . ( (-3)/4 + 2/3 + (-1)/4 + 1/3 )`

`= 11/5 . [( (-3)/4 + (-1)/4) + ( 2/3 + 1/3 )]`

`= 11/5 . [(-1) + 1 ]`

`= 11/5 . 0`

`= 0`

`-----`

`b) ( 27^10 . 16^25 )/(6^30 . 32^15)`

`= ( (3^3)^10 . (2^4)^25 )/( 2^30 . 3^30 . (2^5)^15)`

`= ( 3^30 . 2^100)/( 2^30 . 3^30 . 2^75 )`

`= (3^30 . 2^100)/( 2^105 . 3^30 )`

`= (2^100)/(2^105)`

`= 2^(-5)`

`= 1/(2^5)`

`= 1/32`

`-----`

`c) |3/5 - 1/10| - \sqrt{36/25} + (3/10)^5 : (3/10)^4`

`= |6/10 - 1/10| - 6/5 + 3/10`

`= 5/10 - 6/5 + 3/10`

`= 5/10 - 12/10 + 3/10`

`= -4/10`

`= -2/5`

`-----`

`d) \sqrt{144} + \sqrt{49} - 10 \sqrt{4/15}`

`= 12 + 7 - 10 . 2/5`

`= 19 - 4`

`= 15`

`#By`