Question

Answer 1

`a, (2/3)^3 : (8/27)^3`

`= (2/3 : 8/27)^3`

`= (2/3 . 27/8)^3`

`= (9/4)^3`

`= 729/64`

`b, (-7/5)^5 : ((-14)/18)^5`

`= (7/5 : 7/9)^5`

`= (7/5 . 9/7)^5`

`= (9/5)^5`

`=59049/3125`

`c, (-1/7)^2018 : (1/7)^2018`

`= (1/7)^2018 : (1/7)^2018`

`= (1/7)^0`

`=1`

Answer 2

`( 2/3)^3 : ( 8/27)^3`
`= ( 2/3 : 8/27)^3`
`= ( 2/3 . 27/8)^3`
`= ( 9/4)^3`
`-----`
`( -7/5)^5 : (-14/18)^5`
`= ( -7/5 : (-14)/18 )^5`
`= ( -7/5 . (-18)/14 )^5`
`= ( 9/5)^5`
`-----`
`( -1/7)^2018 : (1/7)^2018`
`= (-1/7)^2018 : (-1/7)^2018`
`= 1`