\(\dfrac{-15}{8}\) x \(\left(\dfrac{8}{15}+\dfrac{32}{27}\right)\) 

= \(\dfrac{-15}{8}\) x \(\dfrac{232}{135}\) 

= \(\dfrac{-29}{9}\)

\(\dfrac{-15}{8}\)*\(\left(\dfrac{8}{15}+\dfrac{32}{27}\right)\)

=\(\dfrac{-15}{8}\)*\(\left(\dfrac{216+480}{405}\right)\)

=\(\dfrac{-15}{8}\)*\(\dfrac{696}{405}\)= \(\dfrac{-15}{8}\)*\(\dfrac{232}{135}\)= \(\dfrac{\left(-15\right)\cdot232}{8\cdot135}\)= \(\dfrac{\left(-1\right)\cdot29}{1\cdot9}\)= \(\dfrac{-29}{9}\)

a: =-15

b: =-2800

`16/27xx13/29+16/27xx14/29`

`=16/27xx(13/29+14/29)`

`=16/27xx27/29`

`=16/29`

`48/49+15/39-18/49+15/39`

`=(48/49-18/49)+(15/39+15/39)`

`=30/49+30/39`

`=880/637`

1; (15 + 22) + (135 - 15 - 22)

= 15 + 22  + 135 - 15  - 22

= (15  - 15) + (22 - 22) + 135

= 0 + 0 + 135

= 135 

\(\text{( -12 ) + ( -13 ) + 36 + ( - 11 )}\)

\(=\left[\left(-12\right)+\left(-13\right)+\left(-11\right)\right]+36\)

\(=\left(-36\right)+36\)

\(=0\)

\(\text{- 16 + 24 + 16 _ 34}\)

\(=\left(-16+16\right)+\left(24-34\right)\)

\(=0+\left(-10\right)\)

\(=-10\)

\(\text{25 + 37 _ 48 _ 25_ 37}\)

\(=\left(25-25\right)+\left(37-37\right)-48\)

\(=0+0-48\)

\(=-48\)

\(\text{2575 + 37 _ 2576 _ 29}\)

\(=\left(2575-2576\right)+\left(37-29\right)\)

\(=\left(-1\right)+8\)

\(=7\)

\(\text{34 + 35 + 36 + 37 _ 14 _ 15 _ 16 _ 17}\)

\(=\left(34-14\right)+\left(35-15\right)+\left(36-16\right)+\left(37-17\right)\)

\(=10+10+10+10\)

\(=40\)

\(\text{( 27 + 514 ) _ ( 486 _ 73 )}\)

\(=27+514-486+73\)

\(=\left(27+73\right)+\left(514-486\right)\)

\(=100+28\)

\(=128\)

chúc bạn học tốt

Bài 1: tính hợp lí:

( -12 ) + ( -13 ) + 36 + ( - 11 )

= [ - 12 + ( - 13 ) + ( - 11 ) ] + 36

= ( - 36 ) + 36

= 0

- 16 + 24 + 16 - 34

= ( - 16 + 16 ) + ( 24 - 34 )

= 0 + ( - 10 )

= - 10

25 + 37 - 48 - 25 - 37

= ( 25 - 25 ) + ( 37 - 37 ) - 48

= 0 + 0 - 48

= - 48

2575 + 37  - 2576 -  29

= ( 2575 - 2576 ) + ( 37 - 29 )

= - 1 + 8

= 7

34 + 35 + 36 + 37  - 14 - 15 - 16 - 17

= ( 34 - 14 ) + ( 35 - 15 ) + ( 36 - 16 ) + ( 37 - 17 )

= 20 + 20 + 20 + 20

= 20 x 4

= 80

Bài 2:  bỏ dấu ngoặc rồi tính:

( 27 + 514 )  -  ( 486  - 73 )

= 27 + 514 - 486 + 73

= ( 27 + 73 ) + ( 514 - 486 )

= 100 + 28

= 128

a) =\(\left(\frac{1}{4}\right)^3\cdot2^5=\frac{1}{2^6}2^5=0,5\)

b) \(=\left(\frac{1}{8}\right)^3\cdot8^4\cdot10^4=80.000\)

c) \(=8^2\cdot\frac{4^5}{2^{20}}=\frac{2^6\cdot2^{10}}{2^{20}}=\frac{1}{2^4}=0,0625\)

d) = \(\frac{81^{11}\cdot3^{17}}{27^{10}\cdot9^{15}}=\frac{3^{44}\cdot3^{17}}{3^{30}\cdot3^{30}}=\frac{3^{61}}{3^{60}}=3\)

a,
       85.(35-27)-35.(85-27)
     =85.35-85.27-35.85-35.27
     =85.35-35.85-85.27.35.27
     =85.27-35.27
     =(85-35).27
     =100.27/2
     =2700/2
     =1350