1 .Write the complex number in polar form with argument θ between 0 and 2π.
|1 + 3 i||5i(1 + i)|
2.Find the product z1z2 and the quotient z1/z2. Express your answers in polar form.
|z1 = 2(cos(5π/4) + i sin(5π/4), z2 = 5(cos(π) + i sin(π))|
3. Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form a + bi.).
|(2/2 + 2/2 i)8||(1 − i)18|