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Popular >

simplify e^{-j pi/4}

Solution

simplify

e^{- j \frac{π}{4}}

Solution

\frac{1}{e ^{\frac{πj}{4}}}

Solution steps

e^{- j \frac{π}{4}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{π}{4} j}}

e^{j \frac{π}{4}} = e^{\frac{πj}{4}}

= \frac{1}{e ^{\frac{πj}{4}}}

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Frequently Asked Questions (FAQ)

What is e^{-j pi/4} ?
The solution to e^{-j pi/4} is 1/(e^{\frac{pij){4}}}