was ist i hoch 19032003
\(\begin{array}{|rcll|} \hline i^0 &=& 1 \\ i^1 &=& i \\ i^2 &=& -1 \\ i^3 &=& -i \\ \hline \end{array}\)
Allgemein:
\(\begin{array}{|rcll|} \hline i^{0+n\cdot 4} &=& 1 \\ i^{1+n\cdot 4} &=& i \\ i^{2+n\cdot 4} &=& -1 \\ i^{3+n\cdot 4} &=& -i \\ \hline \end{array}\)
\(\begin{array}{|rcll|} \hline && i^{19032003} \\ &=& i^{3+4758000\cdot 4} \\ &=& -i \\ \hline \end{array}\)