`1)`
`((-5)^60 . 30^5)/(15^5 . 5^61)`
`= ((-1) . 30^5)/(15^5 . 5)`
`= -(30^5)/(15^5 . 5)`
`= -2^5 : 5`
`= -32 : 5`
`= -32/5`
`2)`
`a)`
`(-5)^30 = (-5^3)^10 = -125^10`
`(-3)^50 = (-3^5)^10 = -243^10`
`Vì -125^10 > -243^109`
`⇒ (-5)^30 > (-3)^50`
`b)`
`(1/2)^50 = (1/2 ^5)^10 = (1/32)^10`
`(-1/16)^10 = (1/16)^10`
`Vì (1/32)^10 < (1/16)^10`
`⇒ (1/2)^50 < (-1/16)^10`