This is the 9439th most frequent Russian word.
туту
"Туту" in Russian is not a standard word and may refer to "tutu," a ballet skirt, borrowed from English.
In this sentence, 'туту' is used to emphasize the place where the homework is located, implying 'here, in this location.'
Туту домашнее задание мы будем выполнять вместе.
This homework here we will complete together.
Here, 'туту' refers to the name of an object, a tutu, borrowed into the Russian lexicon in its original meaning.
Игрушка, которую я подарил, оказалась туту.
The toy I gave turned out to be tutu.
In this usage, 'туту' expresses the idea of repetition or routine within a specific area ('going around here').