Hey guys i'm hoping someone can help me with with problem.

i found z=-2+2i in rcisΘ (r.Θ) being (2√2, 3π/4)

I need to find w= √2cis 45 find zw in rcisΘ form and the reciprocal of z in a+bi form.

so far i got (1+1i) for w but i don't know if that is right.

Any help is appreciated!