What is (-7+6i)/(-2-4i) ?

The solution to (-7+6i)/(-2-4i) is -1/2-2i

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simplify (-7+6i)/(-2-4i)

simplify

\frac{- 7 + 6 i}{- 2 - 4 i}

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

Solution steps

\frac{- 7 + 6 i}{- 2 - 4 i}

Multiply by the conjugate

\frac{- 2 + 4 i}{- 2 + 4 i}

= \frac{( - 7 + 6 i ) ( - 2 + 4 i )}{( - 2 - 4 i ) ( - 2 + 4 i )}

Simplify

\frac{( - 7 + 6 i ) ( - 2 + 4 i )}{( - 2 - 4 i ) ( - 2 + 4 i )} : \frac{- 10 - 40 i}{20}

= \frac{- 10 - 40 i}{20}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 10}{20} + \frac{- 40}{20} i

Simplify

\frac{- 10}{20} + \frac{- 40}{20} i : - \frac{1}{2} - 2 i

= - \frac{1}{2} - 2 i

lo g_{5} (12 5^{2})

- 9 + - 4 - 16

- \frac{\frac{16}{5}}{( - \frac{12}{25} )}

lo g_{0.3} (3)

a^{1} x^{3} y^{2} + a^{2} x^{3} y^{2}