Determine o valor do número complexo a seguir

  • = ( 1 + i )^2^5

    1 + 2i + 1^2 ^5
    1 + 2i - 1 ^5
    2i ^5
    32i^5

    32i

  • (1+i)^{10}#10;#10; (1+i)^{2}^{5}#10;#10;(1+2i+i^{2})^{5}#10;#10;(not 1+ 2i not-1)^{2}#10;#10;(2i)^{5} = 2^{5} cdot i^{5} = 32 cdot i = boxed{boxed{32i}}