How Do You Solve Complex Exponential Equations?

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Micky raj
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Sir the Question is this
[(-1+√3)^2][/(1-i)^20] + [(-1-√3)^15][/(1+i)^20]
and i could solve it half using Euler' Form
[(2e^2∏/3i)^15][/(√2e^-∏/4i)^20] + [(2e^-2∏/3i)^15][/(√2e^∏/4i)^20]
please help fast
 
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That's NOT an equation and I have no idea what you are trying to do with it. What do you mean by "solve" it? Just do the indicated arithmetic? Yes, you can do high powers by changing to "Eulers form" (or "polar form") but you haven't done the powers yet. Why not?

It is not easy to add in that form so after you have done the powers, change back to the original "rectangular" form.

(In the original form you have the numerator of the first fraction to the second power. Below you have it to the 15th power. Which is correct?)
 
sorry Sir First time post that's why a bit nervous