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$12e^{2-\pi*i/3}$ express this in rectangular form $a + i\cdot b$
Not sure how to solve when fractions are involved
Example $2.6\cdot e^{3+i} = 2.6\cdot e^3\cdot e^i$ ?
2 Answers
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$$12e^{2-i\pi/3}=12e^2e^{-i\pi/3}$$ Now use $e^{i\theta}=\cos\theta+i\sin\theta$ to find that remaining exponential.
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Might be useful to think of the desired answer as $$a+ib=r(\cos\theta+i\sin\theta)=re^{i\theta}$$ where $a=r\cos\theta, b=r\sin\theta$.
Also, note that $$ke^{p+i\theta}=ke^p\cdot e^{i\theta}=re^{i\theta}$$
where $r=ke^p$ is a real number (assuming $k$ is real).
That should get you going.
