Question

What do you get if you simplify 5i^10

Answer 1

`\bf \begin{array}l \cline{1-1} \cline{1-1} \\ i^4=1\\ i^2=-1 \\\\ \cline{1-1} \end{array}~\hspace{3.5em}5i^(10)\implies 5i^(4+4+2)\implies 5i^4i^4i^2\implies 5(1)(1)(-1)\implies -5`