How to find real and imaginary parts of this complex exponential sum?

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I understand how to find real and imaginary parts of regular complex exponentials using Euler's formulas, but this one stumps me:

$$6e^{-0.3t+0.8 \pi t j}$$

By using rules of exponents, I can do the following:

$$6e^{-0.3t}e^{0.8\pi t j}$$

And from here I'm stuck because the "$t$" in both exponents screws me up. Any insight is greatly appreciated, thank you!

(I'm sorry for the ugly equation formatting, Stack Exchange doesn't allow me to post equation pics until I have a certain reputation)