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ikoreanx3

  • 2 years ago

Divide. Rewrite the expression so that the imaginary unit does not appear in the denominator. 5+8i/9i

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  1. ikoreanx3
    • 2 years ago
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    \[\frac{ 5+8i }{ 9i }\]

  2. anonymous
    • 2 years ago
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    multiply top and bottom by \(i\)

  3. some_someone
    • 2 years ago
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    \[\frac{ 5 + 8i }{ 9i }\] \[\frac{ 5 + 8i }{ 9i }\times \frac{ 9i }{ 9i }\] \[\frac{ 9i(5 + 8i) }{ -81 }\]

  4. anonymous
    • 2 years ago
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    get \[\frac{5i-8}{-9}\]

  5. anonymous
    • 2 years ago
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    then you can rewrite it as \[\frac{8}{9}-\frac{5}{9}i\]

  6. some_someone
    • 2 years ago
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    \[\frac{ 45i - 72 }{ -81 }\]

  7. some_someone
    • 2 years ago
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    \[\frac{ 8 }{ 9 } - \frac{ 5 }{ 9 }i\]

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