What is \[\frac{{{(1+i)}^{4n+5}}}{{{(1-i)}^{4n+3}}}\] equal to, where n is a natural number and \[i=\sqrt{-1}\]?

What is \[\frac{{{(1+i)}^{4n+5}}}{{{(1-i)}^{4n+3}}}\] equal to, where

1.	What is \[\frac{{{(1+i)}^{4n+5}}}{{{(1-i)}^{4n+3}}}\] equal to, where n is a natural number and \[i=\sqrt{-1}\]?
A.	2
B.	\[2i\]
C.	\[-2\]
D.	i
Answer» B. \[2i\]

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What is \[\frac{{{(1+i)}^{4n+5}}}{{{(1-i)}^{4n+3}}}\] equal to, where n is a natural number and \[i=\sqrt{-1}\]?

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