Question

Calcule as potências:
a) i119
b) i6
c) (i-√3)3
d) (1-i)6

Answer 1

${i}^{119} = {i}^{3} = - i \\ \\ {i}^{6} = {i}^{2} = - 1 \\ \\ {(i - \sqrt{3}) }^{3} = - i + 3 \sqrt{3} + 9i - 3 \sqrt{3} = 8i \\ \\ {(1 - i)}^{6} = 8 i$