Find (1 + i ) 8 using DeMoivre's Theorem. Write 2 - 7 i in polar coordinates on the complex plane.

Find (1 +
i)⁸
using DeMoivre's Theorem.

Write 2 - 7i
in polar coordinates on the complex plane.

Answered Same DayDec 21, 2021

Answer To: Find (1 + i ) 8 using DeMoivre's Theorem. Write 2 - 7 i in polar coordinates on the complex plane.

Robert answered on Dec 21 2021

113 Votes

Find (1 + i )^8 using De Moivre's Theorem.
Solution:
Given:
( )
To use De Moivre’s theorem, we need to convert to its polar form
√ √
( ) (

)

√ (

)
Now, using De Moivre’s theorem,
( ) (√ )

( (

) (

)) ...

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Find (1 + i ) 8 using DeMoivre's Theorem. Write 2 - 7 i in polar coordinates on the complex plane.

Answer To: Find (1 + i ) 8 using DeMoivre's Theorem. Write 2 - 7 i in polar coordinates on the complex plane.

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