Solve e^(j*pi*1/4) e^(-j*pi*1/4)

Evaluate

e^{jπ \times \frac{1}{4}} \times e^{- jπ \times \frac{1}{4}}

To find the roots of the expression,set the expression equal to 0

e^{jπ \times \frac{1}{4}} \times e^{- jπ \times \frac{1}{4}} = 0

Multiply the terms

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e^{jπ \times \frac{1}{4}} \times e^{- \frac{π}{4} j} = 0

Multiply the terms

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e^{\frac{π}{4} j} \times e^{- \frac{π}{4} j} = 0

Multiply the terms

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1 = 0

Solution

j \in \emptyset

Simplify the expression