What is (1/100000 v)/(vi) ?

The solution to (1/100000 v)/(vi) is -1/100000 i

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simplify (1/100000 v)/(vi)

simplify

\frac{\frac{1}{100000} v}{v i}

- \frac{1}{100000} i

Solution steps

\frac{\frac{1}{100000} v}{v i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{\frac{1}{100000} v ( - i )}{v i ( - i )}

Simplify

\frac{\frac{1}{100000} v ( - i )}{v i ( - i )} : \frac{- \frac{1}{100000} v i}{v}

= \frac{- \frac{1}{100000} v i}{v}

Cancel

\frac{- \frac{1}{100000} v i}{v} : - \frac{i}{100000}

= - \frac{i}{100000}

Rewrite in standard complex form:

- \frac{1}{100000} i

= - \frac{1}{100000} i

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