`54:`
`a)`
`24.{32.[12-4+4.(16:2^3)]}`
`=24.{32.[8+4.(2^4 : 2^3)]}`
`=24.[32.(8+4.2)]`
`=24.32.16`
`= 3 . 2^3 . 2^5 . 2^4`
`= 3 . 2^12`
`=12288`
`b)5^3 + (3^4+4).2+(27-3):4`
`= 125 + ( 36 + 4) . 2 + 24 :4`
`= 125 + 40 . 2 + 6`
`= 125 + 80 + 6`
`=205 + 6`
`=211`
`c) 245 - 4 . [ 16 : 8 + 2 . ( 4 . 3^2 - 9 ) ]`
`= 241 . [ 2 + 2 . ( 4 . 9 - 9 ) ] `
`= 241 . [ 2 + 2 . ( 36 - 9)]`
`= 241 . [ 2 + 2 . 27`]
`= 241 . [2 + 54]`
`= 241 . 56`
`=13496`
`55:`
`49 - 3 ( x + 6 ) = 13`
`3 ( x + 6 ) = 49 - 13`
`3 ( x + 6 ) = 36`
`x + 6 = 36 : 3`
`x + 6 = 12`
`x = 12 - 6`
`x = 6`
`5x+3(10-x)+x=45`
`5x+30x+x=45`
`5x-3x+x= 45-30`
`x(5-3+1)=15`
`x . 3 = 15`
`x = 15 : 3`
`x=5`
`{ x - [ 5^2 - ( 9^2 - 16 . 5 )^30 . 24]^3 - 14} = 1`
`x-(25-1^30 . 24)^3-14=1`
`x-(25-1 . 24)^3-14=1`
`x-(25-24)^3-14=1`
`x-1^3-14=1`
`x-1-14=1`
`x-1=1+14`
`x-1=15`
`x=15+1`
`x=16`
