Algebra-Complex Numbers

solution $i^{17}\,$

solution $(a^2)(i^{6})+(b^2)(i^{8})\,$

solution $(ix+iy)(ix-iy)\,$

solution $(ix+iy)^2\,\,$

solution $(1+i)^{4}\,$

solution $(3-4i)(4+3i)\,$

solution If $2(i^{4})+6(i^{3})=A+iB\,$ ,Find A,B

solution Simplify $i^{18}-3(i^{7})+i^{2}(1+i^{4})(-i)^{26}\,$

solution Calculate $\frac{-2i}{-5-10i}\,$