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Popular >

simplify e^{-jpi/31*1}

Solution

simplify

e^{- j \cdot \frac{π}{3} \cdot 1 \cdot 1}

Solution

\frac{1}{e ^{\frac{πj}{3}}}

Solution steps

e^{- j \frac{π}{3} \cdot 1 \cdot 1}

Apply exponent rule:

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

= \frac{1}{e ^{1 \cdot 1 \cdot \frac{π}{3} j}}

Multiply:

j \frac{π}{3} \cdot 1 \cdot 1 = j \frac{π}{3}

= \frac{1}{e ^{\frac{π}{3} j}}

e^{j \frac{π}{3}} = e^{\frac{πj}{3}}

= \frac{1}{e ^{\frac{πj}{3}}}

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Frequently Asked Questions (FAQ)

What is e^{-j*pi/3*1*1} ?
The solution to e^{-j*pi/3*1*1} is 1/(e^{\frac{pij){3}}}