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Popular >

simplify (-1)/(2-2i)

Solution

simplify

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

Solution

- \frac{1}{4} - \frac{1}{4} i

Solution steps

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

Multiply by the conjugate

\frac{2 + 2 i}{2 + 2 i}

= \frac{- 1 \cdot ( 2 + 2 i )}{( 2 - 2 i ) ( 2 + 2 i )}

Simplify

\frac{- 1 \cdot ( 2 + 2 i )}{( 2 - 2 i ) ( 2 + 2 i )} : \frac{- 2 - 2 i}{8}

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

Apply the fraction rule:

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

= \frac{- 2}{8} + \frac{- 2}{8} i

Simplify

\frac{- 2}{8} + \frac{- 2}{8} i : - \frac{1}{4} - \frac{1}{4} i

= - \frac{1}{4} - \frac{1}{4} i

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Frequently Asked Questions (FAQ)

What is (-1)/(2-2i) ?
The solution to (-1)/(2-2i) is -1/4-1/4 i