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blahblah_who_cares

  • 3 years ago

Simplify. i^-7 .

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  1. JamesJ
    • 3 years ago
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    Well, \[ i^{-7} = \frac{1}{i^7} \] What first is \[ i^7 = ... \]

  2. blahblah_who_cares
    • 3 years ago
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    which is -i

  3. JamesJ
    • 3 years ago
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    correct. Now what is 1/(-i)

  4. blahblah_who_cares
    • 3 years ago
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    oh wait. I think i know what i did wrong. its cause i forgot that i cannot be on the bottom of the equation. just to make sure. I believe the answer is i?

  5. JamesJ
    • 3 years ago
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    Yes, because you simplify complex fractions by multiplying by the conjugate of the denominator \[ \frac{1}{-i} = \frac{1}{-i}\frac{i}{i} = \frac{i}{1} = i \]

  6. blahblah_who_cares
    • 3 years ago
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    thx.

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