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Mathematics 17 Online
OpenStudy (zenmo):

someone help with an arithmetic for trig.

OpenStudy (anonymous):

yes.

OpenStudy (zenmo):

\[\sqrt{2}^{7}[(-\sqrt{2}/2)+(-\sqrt{2}/2)i]. How do you get -(\sqrt{2})^{6}-(\sqrt{2})^{6}i\]

OpenStudy (zenmo):

Having a brain fart, so I don't know how you get that answer. :X

OpenStudy (studygurl14):

\(\Large\sqrt{2^7}[\frac{\sqrt{2}}{2}+\frac{-\sqrt{2}}{2}i]\) like that?

OpenStudy (freckles):

distribute!

OpenStudy (zenmo):

Yes ^ to studygurl

OpenStudy (studygurl14):

forgot to put the -

OpenStudy (studygurl14):

Okay, so first step it to distribute the \(\large\sqrt{2^7}\) as @freckles said

OpenStudy (freckles):

\[(\sqrt{2})^7 \cdot (\sqrt{2})^1=(\sqrt{2})^8=(\sqrt{2})^6 \cdot (\sqrt{2})^2\] guess what (sqrt(2))^2=?

OpenStudy (zenmo):

\[its \sqrt{2}^{7}. \sqrt{2} \to the 7th power\]

OpenStudy (zenmo):

square root of 2 to the 7th power****

OpenStudy (studygurl14):

@freckles is asking what \(\large(\sqrt{2})^2\) equals

OpenStudy (zenmo):

equals to 2?

OpenStudy (studygurl14):

Correct.

OpenStudy (zenmo):

What's next?

OpenStudy (studygurl14):

you have \(\large\sqrt{2^8}\) \(\large\sqrt{2^8}\rightarrow\sqrt{2^22^22^22^2}\rightarrow\sqrt{2^2}\sqrt{2^2}\sqrt{2^2}\sqrt{2^2}\rightarrow?\)

OpenStudy (zenmo):

equals to 16*

OpenStudy (studygurl14):

correct

OpenStudy (studygurl14):

Now you have \(\Large\frac{16}{2}+\frac{-16}{2}i\) Can you do the rest?

OpenStudy (zenmo):

Yea, I can see the picture now. Thanks!

OpenStudy (studygurl14):

:)

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