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Simplify (1 + i√3)^6

 Jul 10, 2023
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We can write [(1 + \sqrt{-3})^6 = (1 + i \sqrt{3})^6.]Let z=1+i3​. Then z2=1+2i3​+3=4i3​, so z3=−3i, and z6=z3z3 =3i(3i) =9.

Therefore, (1+i*sqrt(3))^6 = 9 ​.

 Jul 10, 2023

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