anonymous
  • anonymous
Simplify. i^-7 .
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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JamesJ
  • JamesJ
Well, \[ i^{-7} = \frac{1}{i^7} \] What first is \[ i^7 = ... \]
anonymous
  • anonymous
which is -i
JamesJ
  • JamesJ
correct. Now what is 1/(-i)

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anonymous
  • anonymous
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?
JamesJ
  • JamesJ
Yes, because you simplify complex fractions by multiplying by the conjugate of the denominator \[ \frac{1}{-i} = \frac{1}{-i}\frac{i}{i} = \frac{i}{1} = i \]
anonymous
  • anonymous
thx.

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