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Popular >

simplify 1/2 e^{-jpi}

Solution

simplify

\frac{1}{2} e^{- jπ}

Solution

\frac{1}{2 e ^{πj}}

Solution steps

\frac{1}{2} e^{- jπ}

Apply exponent rule:

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

= \frac{1}{2} \cdot \frac{1}{e ^{πj}}

Multiply fractions:

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

= \frac{1 \cdot 1}{2 e ^{jπ}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 e ^{πj}}

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Frequently Asked Questions (FAQ)

What is 1/2 e^{-jpi} ?
The solution to 1/2 e^{-jpi} is 1/(2e^{pij)}