( 1 + 3 i ) 5
= ( 1 + 3 i ) 2 * ( 1 + 3 i ) 2 * ( 1 + 3 i )
= ( 1 - 9 + 6 i ) * ( 1 - 9 + 6 i ) * ( 1 + 3 i )
= ( - 8 + 6 i ) * ( - 8 + 6 i ) * ( 1 + 3 i )
= ( 64 - 36 - 96 i ) * ( 1 + 3 i )
= ( 28 - 96 i ) * ( 1 + 3 i )
= 28 + 288 - 96 i + 84 i
= 316 - 12 i