Exercise Group 1.8.6.1–6. Real and imaginary parts.

Identify the real and imaginary part of each complex number in Exercise Group 1.8.6.1–6.
1.
\(-7 + 3i\)
2.
\((2+4i)(-1-i)\)
3.
\(\frac{1}{1-i}\)
4.
\(\frac{3+2i}{2-8i}\)
5.
\(e^{(a+bi)t}\) for real numbers \(a\text{,}\)\(b\text{,}\) and \(t\text{.}\)
6.
\(ie^{2 \pi i / 3 }\)
in-context