In a statement:
Nobody (or no-one) likes doing the washing up in our flat.
I have nothing to wear to the party.
In a short answer:
What did you buy?' 'Nothing.' = I didn't buy anything.
'Where are you going on holiday?''Nowhere, we're just staying at home this year.'
nobody/nowhere/nothing = not + anybody/anywhere/anything:
He helped nobody (or no-one) = He didn't help anyone.
Note: He didn't help nobody.
They've eaten all the cake. There's nothing left. = There isn't anything left.
Note: There's not nothing left.