SOLUTION: Find the power of i (-i)^42 A) 1 B)None C) 42i D)i E) -i

Question 713186: Find the power of i
(-i)^42
A) 1 B)None C) 42i D)i E) -i
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

First, we can make things easier if we separate the "-" from the "i". Using the fact that -i = -1*i and a rule for exponents, we can rewrite the expression as:

Since (-1)*(-1) = 1 and since is just 21 pairs of (-1)*(-1), So the expression is now down to:

Since , . And since , Since is 10 sets of and one , :

So the answer to the problem is B (None).
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