"to eat up" is a phrasal verb that means: to eat all of something
for example:
The mouse is eating up the cheese.
or
The mouse is eating the cheese up.
A phrasal verb is a verb + a preposition,
for example:
verb - eat
preposition - up
phrasal verbs
verb + preposition
to eat up
= to eat all of
something
Eat up your food!
The mouse
ate up all the
cheese.
Eat up your food!
Eat your food up!
Eat the spaghetti up!
Eat up the spaghetti!
I ate the spaghetti up.
I ate up all the cheese.