- #1

yamata1

- 61

- 1

Poster has been reminded to show their work on schoolwork problems

- Homework Statement
- Simplify $$\frac{(-1)^{2/9} + (-3/2 - \frac{i}{2} \sqrt{3})^{(1/3)}}{(-1)^{2/9}- (-3/2 - \frac{i}{2} \sqrt{3})^{(1/3)}}$$

- Relevant Equations
- wolfram gives us this result : $$-1 - \frac{(2 i)}{(3^{1/6} + -i)}$$

I don't know how to start with the factorization.

$$\frac{(-1)^{2/9} + (-3/2 - \frac{i}{2} \sqrt{3})^{(1/3)}}{(-1)^{2/9}- (-3/2 - \frac{i}{2} \sqrt{3})^{(1/3)}}$$

Any hints would be nice. Thank you.

$$\frac{(-1)^{2/9} + (-3/2 - \frac{i}{2} \sqrt{3})^{(1/3)}}{(-1)^{2/9}- (-3/2 - \frac{i}{2} \sqrt{3})^{(1/3)}}$$

Any hints would be nice. Thank you.