SOLUTION: How do you find the power in rectangular and trigonometric form when given {{{ (-1+i)^7 }}}?

SOLUTION: How do you find the power in rectangular and trigonometric form when given {{{ (-1+i)^7 }}}?

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Question 1116773: How do you find the power in rectangular and trigonometric form when given ?
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Put the expression in form and use deMoivre's Theorem.

deMoivre's Theorem says you raise that number to a power by raising the modulus to the power and multiplying the angle by the power. So

Then convert back to rectangular form; a modulus of 8*sqrt(2) and an angle of 5pi/4 gives the rectangular form as -8-8i.
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