The Ksp expression for La(IO₃)₃ in water is Ksp = [La][IO₃]3
For the purpose of this, it's simplest to replace La and IO₃ with S (for solubility)... for each La(IO₃)₃ molecule dissolved there is one La and three IO₃, meaning that the Ksp = [S][3S]3, which becomes 27S4 when multiplied out. To solve for S we now do 7.5 × 10⁻¹² = 27S4, yielding 7.25979529×10-4 as S (solubility)