Any score between 18/01 and 18/00 is called exceptional strength and only fighters can have it. The ability score tables at the back of your manual will have the exact to hit and damage bonuses as well as the additional weight you can carry. Basically the higher the better.
You would only have points remaining if you made a change to existing ability scores. You can lower some scores that you aren't important to your class (eg intelligence for a barbarian) and add them to ones that are (eg strength, dexterity). You can't go above racial limits in any case.
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