Fourier transform of a difficult signal

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I have to calc the Fourier transform of the following signal:

$$e^{-2n}u(n)\delta (n-3)$$

I have tried the following solution:

$$\frac{1}{1-e^{-2}e^{-j2 \pi \nu }}$$

Is this correct? If not, can you give me an help? Thank you.