- #1

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A. (2i)

^{5}

B. (1+i)

^{-.5}

I referred to my precal book and various websites and am still clueless. I started to work out A. but I'm not sure of anything. Here's what I did:

(2i)

^{5}= 32i

On the imaginary/real plane, that forms a 90 degree angle.

[tex]\theta = \frac{\pi}{4}[/tex]

[tex]e^{i \theta } = cos \theta + isin \theta [/tex]

[tex] cos \frac{\pi}{4} = 0[/tex] & [tex]isin\frac{\pi}{4} = i [/tex]

[tex]e^ {\frac{i\pi}{4}} = i [/tex]

[tex]e^ {\frac{\pi}{4}} = ? [/tex] . . .

Whenever I don't know what I'm doing, I just mimic, and I feel like I'm mimicking incorrectly.

I would really like to know how to do this but can't figure it out on my own. Thanks in advance :)