What is (2i)/(-4-8i) ?

The solution to (2i)/(-4-8i) is -1/5-1/10 i

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simplify (2i)/(-4-8i)

simplify

\frac{2 i}{- 4 - 8 i}

- \frac{1}{5} - \frac{1}{10} i

Solution steps

\frac{2 i}{- 4 - 8 i}

Multiply by the conjugate

\frac{- 4 + 8 i}{- 4 + 8 i}

= \frac{2 i ( - 4 + 8 i )}{( - 4 - 8 i ) ( - 4 + 8 i )}

Simplify

\frac{2 i ( - 4 + 8 i )}{( - 4 - 8 i ) ( - 4 + 8 i )} : \frac{- 8 i - 16}{80}

= \frac{- 8 i - 16}{80}

Rewrite in standard complex form:

- \frac{1}{5} - \frac{1}{10} i

= - \frac{1}{5} - \frac{1}{10} i

121 m^{2} - 100 n^{2}

lo g_{3} (3 x)

(4 + h)^{3} - 64

(3 t)^{- 2}

\frac{14}{5} = \frac{z}{25}