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Popular >

simplify (e^{jw(n-1)})/(e^{jwn)}

Solution

simplify

\frac{e ^{j w (n - 1)}}{e ^{j w n}}

Solution

e^{- j w}

Solution steps

\frac{e ^{j w (n - 1)}}{e ^{j w n}}

Apply exponent rule:

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

= e^{j w (n - 1) - jn w}

Expand

j w (n - 1) - j w n : - j w

= e^{- j w}

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Frequently Asked Questions (FAQ)

What is (e^{jw(n-1)})/(e^{jwn)} ?
The solution to (e^{jw(n-1)})/(e^{jwn)} is e^{-jw}