# How do you find the power (2+3i)^-2 and express the result in rectangular form?

Jul 8, 2018

$\frac{13 - 6 i}{169}$

#### Explanation:

writing

${\left(2 - 3 i\right)}^{2} / {\left(\left(2 + 3 i\right) \left(2 - 3 i\right)\right)}^{2}$
this is

$\frac{4 + 9 - 6 i}{4 + 9} ^ 2$

$\frac{13 - 6 i}{169}$