If (a+i b)5=α+i β then (b+i a)5 is equal to

Question

If (a+i b)5=α+i β then (b+i a)5 is equal to (A) β+i α (B) α-i β (C) β-i α (D) -α-i β

Tardigrade Admin · Accepted Answer

(a+i b)5=α+i β i5(b-i a)5=α+i β (b-i a)5=-i α+β (b+i a)5=β+i α

Q. If $(a + ib)^{5} = α + i β$ then $(b + ia)^{5}$ is equal to