# How do you simplify (-7+6i)/(9-4i) and write the complex number in standard form?

Oct 23, 2016

$\frac{- 87 + 26 i}{85}$
$\frac{- 7 + 6 i}{9 - 4 i} \cdot \frac{9 + 4 i}{9 + 4 i} \to$multiplying by the conjugate of denominator
$= \frac{\left(- 7 + 6 i\right) \left(9 + 4 i\right)}{81 - 4 {i}^{2}} = \frac{- 63 - 28 i + 54 i - 24}{81 + 4}$
$= \frac{- 87 + 26 i}{85}$