if a and b are imaginary cube roots of unity,then a4+b4+1/ab=0
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ask your teacher bro
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a and b are imaginary cube roots of unity.
so a=w (omega) and b=w^2
so a^4+b^4+1/ab=w^4+(w^2)^4+(1/w*w^2)
=w^4+w^8+(1/w^3)
=w+w^2+(1/1)
=1+w+w^2=0
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