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Popular >

simplify (i^7-i^{-7})/(2i)

Solution

simplify

\frac{i ^{7} - i ^{- 7}}{2 i}

Solution

- 1

Solution steps

\frac{i ^{7} - i ^{- 7}}{2 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( i ^{7} - i ^{- 7} ) ( - i )}{2 i ( - i )}

Simplify

\frac{( i ^{7} - i ^{- 7} ) ( - i )}{2 i ( - i )} : \frac{- 2}{2}

= \frac{- 2}{2}

Divide the numbers:

\frac{- 2}{2} = - 1

= - 1

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Frequently Asked Questions (FAQ)

What is (i^7-i^{-7})/(2i) ?
The solution to (i^7-i^{-7})/(2i) is -1