How do you divide 1/(-2i)?

Jul 21, 2016

$\frac{i}{2}$

Explanation:

Remember that we can multiply the top and bottom of a fraction by the same amount without changing the value. We use the complex conjugate in this case:

$\frac{1}{- 2 i} \cdot \frac{2 i}{2 i}$

$\frac{2 i}{- 4 {i}^{2}}$

Recall that ${i}^{2} = - 1$

$\frac{2 i}{- 4 \left(- 1\right)} = \frac{2 i}{4} = \frac{i}{2}$