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

The solution to (6+8i)/(9i) is 8/9-2/3 i

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

simplify

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

\frac{8}{9} - \frac{2}{3} i

Solution steps

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

Multiply by the conjugate

\frac{- i}{- i}

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

Simplify

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

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

Rewrite

- 6 i + 8

in standard complex form:

8 - 6 i

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

Apply the fraction rule:

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

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

Cancel

\frac{- 6}{9} : - \frac{2}{3}

= \frac{8}{9} - \frac{2}{3} i

1 0^{\frac{7}{4}}

2 x + 1 \geq - 7 and 2 x + 1 < 3

3 t^{2} - 14 t + 5 = 0

5 = \frac{2}{3} (8 x - 6)

3 e^{- 3}