What is 1/(0.02+0.04i) ?

The solution to 1/(0.02+0.04i) is 10-20i

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simplify 1/(0.02+0.04i)

simplify

\frac{1}{0.02 + 0.04 i}

10 - 20 i

Solution steps

\frac{1}{0.02 + 0.04 i}

Multiply by the conjugate

\frac{0.02 - 0.04 i}{0.02 - 0.04 i}

= \frac{1 \cdot ( 0.02 - 0.04 i )}{( 0.02 + 0.04 i ) ( 0.02 - 0.04 i )}

1 \cdot (0.02 - 0.04 i) = 0.02 - 0.04 i

(0.02 + 0.04 i) (0.02 - 0.04 i) = 0.002

= \frac{0.02 - 0.04 i}{0.002}

Rewrite

\frac{0.02 - 0.04 i}{0.002}

in standard complex form:

10 - 20 i

= 10 - 20 i

12 x - 12 x

(\frac{a ^{2} b ^{2}}{ab})^{2}

4 x - 36

\frac{1}{2} + \frac{4}{7}

5^{- \frac{2}{3}}