What is ((1+d)/(2i))^{-2} ?

The solution to ((1+d)/(2i))^{-2} is 4/(-1-2d-d^2)

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simplify ((1+d)/(2i))^{-2}

simplify

(\frac{1 + d}{2 i})^{- 2}

\frac{4}{- 1 - 2 d - d ^{2}}

Solution steps

(\frac{1 + d}{2 i})^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{1 + d}{2 i})^{- 2} = \frac{1}{( \frac{1 + d}{2 i} ) ^{2}}

= \frac{1}{( \frac{1 + d}{2 i} ) ^{2}}

Simplify

(\frac{1 + d}{2 i})^{2} : \frac{- 1 - 2 d - d ^{2}}{4}

= \frac{1}{\frac{- 1 - 2 d - d ^{2}}{4}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{4}{- 1 - 2 d - d ^{2}}

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