Question

Divide. Rewrite the expression so that the imaginary unit does not appear in the denominator.

5+8i/9i

Answer 1

\[\frac{ 5+8i }{ 9i }\]

Answer 2

multiply top and bottom by \(i\)

Answer 3

\[\frac{ 5 + 8i }{ 9i }\]
\[\frac{ 5 + 8i }{ 9i }\times \frac{ 9i }{ 9i }\]
\[\frac{ 9i(5 + 8i) }{ -81 }\]

Answer 4

get
\[\frac{5i-8}{-9}\]

Answer 5

then you can rewrite it as
\[\frac{8}{9}-\frac{5}{9}i\]

Answer 6

\[\frac{ 45i - 72 }{ -81 }\]

Answer 7

\[\frac{ 8 }{ 9 } - \frac{ 5 }{ 9 }i\]