Express the following numbers into the form a + ib where a,b are reals:
`(5+i^9)/(-3+i^4)`

Express the following complex number in the form a + ib : (4 - 2i)^2

Express the following complex number in the form a + ib : (1-i)^2

If z is any non-zero complex number, prove that the multiplicative inverse of z is bar z/(|z|^2) . Hence express the following numbers in the form x + iy, where x , y in R : (-3+2i)/(4-5i) .

Express the following complex number in the form a + ib : (-2 + 3i)^3

Express the following complex number in the form a + ib : (3 + 5i)(3 - 5i)

Express the following complex number in the form of a + ib : 2(5 + i5) + i(5 + i5)

Express the following complex number in the form a + ib : (1 + i) - (-1 + 5i)

Write the following in the form a+ib 1/(3+4i)

Express the following in polar form : 3+ 4i .