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Express the following in the form a+bi ...

Express the following in the form a+bi
`(-2-(1)/(3)i)^(3)`

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The correct Answer is:
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`(-2-(1)/(3)i)^(3)=(-1)^(3)(2+(1)/(3)i)^(3)`
`" "=-[(2)^(3)+((1)/(3)i)^(3)+3*2*(1)/(3)i(2+(1)/(3)i)]`
`" "=-[8+(1)/(27)i^(3) +2i(2+(1)/(3)i)]`
`" "=-[8+(1)/(27)i(i^(2)) +4i+(2)/(3)i^(2)]`
`" "=-[8+(1)/(27)i(-1) + 4i+(2)/(3)(-1)]`
`" "=-[(8-(2)/(3))+ (4-(1)/(27))i]`
`" "=-[(22)/(7)+(107)/(27)i]=-(22)/(3)-(107)/(27)i`
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