A three-letter word that means "exist" is almost always "are." See if it will work.
work
"BOSS"
The 3-letter Greek letters that start with a "p" are phi and psi. The 3-letter Greek letter that ends in a "u" is tau. Other 3-letter Greek letters are eta, rho and chi. You work it out.
Immigrate...
erg
A three-letter word that means "exist" is almost always "are." See if it will work.
A three-letter word for 'lucrative' is 'pay', as in, 'Does his work pay well? which could also be expressed as, 'Is his work lucrative?'
There are 9 * 8 * 7, or 504, three letter permutations that can be made from the letters in the work CLIPBOARD.
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Word.
Joule is a good one it is a measurment of energy
A sweet potato is also known as a yam.
Work Is a 4-Letter Word - 1968 is rated/received certificates of: Sweden:Btl
An eight-letter word cannot be made from four letters. T, I, E and S are not sufficient to make an eight-letter word without knowing what letters can be repeated and how often they are repeated. TESTIEST could work if you allow three Ts.
Work
work