Express each of the following in the form (a + ib) and find its multiplicative inverse :
(i) `(1+2i)/(1-3i)`
(ii) `((1+7i))/((2-i)^(2))`
(iii) `(-4)/((1+i sqrt(3)))`

Express each of the following in the form a+ib:(-2-(1)/(3)i)^(3)

Express the following in the form a+ib (i) (4i) ((1)/7i)

Express the following in the form of a+ib (1+i)/(2+3i)

Express the following in the form of a + ib . (i) (1/4 + 4i)^(2)

Express the following in the form of a + ib . (i) (1/4 + 4i)^(2)

Express each of the following in the form (a + ib) and find its conjugate: {:((i),(1)/((4+3i)),(ii),(2+3i)^(2),(iii),((2-i))/((1-2i)^(2))),((iv),((1+i)(1+2i))/((1+3i)),(v),((1+2i)/(2+i))^(2),(vi),((2+i))/((3-i)(1+2i))):}

Express the following in the form a+ib (ii) (2i) (-3i) ((6)/7i)

Express the following in a+ib form (-1-i)(4+2i)

Express the following in a+ib form. (2-4i)/(1-3i)

Express each one of the following in the form a+ib. (i) (isqrt-9+7i)/(1+sqrt-1)