Question

Aplicando as propriedades das potências calcule (3-3i)6

Answer 1

[(3-3i)]6

[3(1-i)]^6

3^6(1-i)^6 => 3^6[(1-i)²]³ => 729.(-2i)³ ==> 729(-8i³) => - 5832(-i) ==> 5.832i
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3^6 = 3.3.3.3.3.3 = 9.9.9 ==> 81.9 ==> 729
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(1-i)² = 1 - 2i + i² ==> 1 - 2i - 1 ==> - 2i