Question
Compute each of the following, leaving the result in polar $r e^{i \theta}$ form.$$\left(2 e^{\frac{\pi}{4} i}\right)^{10}$$
Step 1
In this case, $a = 2e^{\frac{\pi}{4}i}$, $b = 1$, and $c = 10$. So we have: \[ \left(2 e^{\frac{\pi}{4} i}\right)^{10} = 2^{10} \cdot \left(e^{\frac{\pi}{4} i}\right)^{10} \] Show more…
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