Let $$u = 2-3i\quad\hbox{and}\quad v = -3+i.$$
Write the following complex numbers in the standard form of a complex number.
$u+v =$ $+$ $i$.
$u-v =$ $+$ $i$.
$uv =$ $+$ $i$.
$\frac{u}{v} =$ $+$ $i$.
$\frac{v}{u}=$ $+$ $i$.
$v^2=$ $+$ $i$.
$v^3=$ $+$ $i$.
$v^4=$ $+$ $i$.