What is e^{-j((K*2*pi)/(T_{0)}*1/2)} ?

The solution to e^{-j((K*2*pi)/(T_{0)}*1/2)} is 1/(e^{\frac{pijK){T_{0}}}}

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simplify e^{-j((K2pi)/(T_{0)}*1/2)}

simplify

e^{- j (\frac{K \cdot 2 \cdot π}{T _{0}} \cdot \frac{1}{2})}

\frac{1}{e ^{\frac{πj K}{T _{0}}}}

Solution steps

e^{- j (\frac{K \cdot 2 π}{T _{0}} \cdot \frac{1}{2})}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{1}{2} j \frac{2 π K}{T _{0}}}}

e^{j \frac{K \cdot 2 π}{T _{0}} \cdot \frac{1}{2}} = e^{\frac{πj K}{T _{0}}}

= \frac{1}{e ^{\frac{K πj}{T _{0}}}}

e^{- 3 l n ∣ t ∣}

(5.07 \cdot 1 0^{3}) (30 \cdot 1 0^{- 3})

e^{(- 3.34552)}

\frac{( 3 i - 3 ) ^{2}}{n ^{2}}

e^{- t} \cdot e^{- 3 t}

What is e^{-j((K*2*pi)/(T_{0)}*1/2)} ?
The solution to e^{-j((K*2*pi)/(T_{0)}*1/2)} is 1/(e^{\frac{pijK){T_{0}}}}