Simplify. i^-7 .

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Simplify. i^-7 .

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Well, \[ i^{-7} = \frac{1}{i^7} \] What first is \[ i^7 = ... \]
which is -i
correct. Now what is 1/(-i)

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

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