What is (e^{-jw})/(e^{-j w/2)} ?

The solution to (e^{-jw})/(e^{-j w/2)} is e^{-(jw)/2}

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simplify (e^{-jw})/(e^{-j w/2)}

simplify

\frac{e ^{- j w}}{e ^{- j \frac{w}{2}}}

e^{- \frac{j w}{2}}

Solution steps

\frac{e ^{- j w}}{e ^{- j \frac{w}{2}}}

Apply exponent rule:

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

= e^{- j w - (- j \frac{w}{2})}

Apply rule

- (- a) = a

= e^{- j w + j \frac{w}{2}}

Multiply

j \frac{w}{2} : \frac{j w}{2}

= e^{- j w + \frac{j w}{2}}

Join

- j w + \frac{w j}{2} : - \frac{j w}{2}

= e^{- \frac{j w}{2}}

18.5 \cdot e^{- 5}

((e^{- 2})^{\frac{7}{2}})^{- 2}

x + x \cdot x

- e^{- \frac{jnπ}{2}} \cdot e^{- \frac{jnπ}{2}}

(14 f g^{2} h^{2}) (3 f^{4} g^{2} h^{2})

What is (e^{-jw})/(e^{-j w/2)} ?
The solution to (e^{-jw})/(e^{-j w/2)} is e^{-(jw)/2}