simplify 2e^{-jpi}

Solution

simplify

2 e^{- jπ}

\frac{2}{e ^{πj}}

Solution steps

2 e^{- jπ}

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{πj}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2}{e ^{jπ}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{e ^{πj}}

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