Express the following in `a+i b` form: `((cosalpha+isinalpha)^4)/((sinbeta+icosbeta)^5)`

Express the following in a+i b form: ((cos2theta-isin2theta)^4(cos4theta+isin4theta)^(-5))/((cos3theta+isin3theta)^(-2)(cos3theta-isin3theta)^(-9))

Express the following surds in its simplest form root4(324)

Express the following in the standard form a + ib . (2(i -3))/((1 + i)^2)

Express the following in the standard form a+ib . (-3 + i) (4 - 2i)