Express the following in the standard form for a complex

Question

1) Express the following in the standard form for a complex number 2i/1+2i

2) Express the following in the standard form for a complex number 3/2i

3) Write the complex number in standard form: (2 - √-3)²

4) Using DeMoivre's Theorem solve: z2 + 100 = 0

5) Using DeMoivre's Theorem solve: z3 - 64 = 0

6) Express the complex number z = -1 + 2i in trigonometric form.