`5/11 . (-3/7) + 5/11 . (-5/7) + (-8/7) . 6/11`
`= 5/11 . [(-3/7) + (-5/7)] + (-8/7) . 6/11`
`= 5/11 . (-8/7) + (-8/7) . 6/11`
`= -8/7 . (5/11 + 6/11)`
`= -8/7 . 1`
`= -8/7`
`(1/9 + 2/3)^2 - 5/3 : \sqrt(25)`
`= (7/9)^2 - 5/3 : 5`
`= 49/81 - 1/3`
`= 49/81 - 27/81`
`= 22/81`
`(2/5 - 1/2)^2 + 2 1/5 : (-22/15)`
`= (-1/10)^2 + 11/5 . (-15/22)`
`= 1/100 - 3/2`
`= 1/100 - 150/100`
`= -149/100`
`(4^5 . 9^4 - 2 . 6^9)/(2^10 . 3^8 + 6^8 . 20)`
`= ((2^2)^5 . (3^2)^4 - 2 . (2 . 3)^9)/(2^10 . 3^8 + (2 . 3)^8 . 2^2 . 5)`
`= (2^10 . 3^8 - 2 . 2^9 . 3^9)/(2^10 . 3^8 + 2^8 . 3^8 . 2^2 . 5)`
`= (2^10 . 3^8 - 2^10 . 3^9)/(2^10 . 3^8 + 2^10 . 3^8 . 5)`
`= (2^10 . 3^8 . (1 - 3))/(2^10 . 3^8 . (1 + 5))`
`= -2/6`
`=-1/3`