What is (6i)/(9-8i) ?

The solution to (6i)/(9-8i) is -48/145+54/145 i

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simplify (6i)/(9-8i)

simplify

\frac{6 i}{9 - 8 i}

- \frac{48}{145} + \frac{54}{145} i

Solution steps

\frac{6 i}{9 - 8 i}

Multiply by the conjugate

\frac{9 + 8 i}{9 + 8 i}

= \frac{6 i ( 9 + 8 i )}{( 9 - 8 i ) ( 9 + 8 i )}

Simplify

\frac{6 i ( 9 + 8 i )}{( 9 - 8 i ) ( 9 + 8 i )} : \frac{54 i - 48}{145}

= \frac{54 i - 48}{145}

Rewrite in standard complex form:

- \frac{48}{145} + \frac{54}{145} i

= - \frac{48}{145} + \frac{54}{145} i

4 x^{2} + 8

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2^{7}

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