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What is (-i)^6 ? Please don’t guess. Thanks

What is (-i)^6 ? Please don’t guess. Thanks
83.0k views
4 votes
What is (-i)^6 ? Please don’t guess. Thanks

What is (-i)^6 ? Please don’t guess. Thanks-example-1
User Rudey
by
8.3k points

2 Answers

4 votes

Answer:

-1

Explanation:

Hello, please consider the following.


(-i)^6=(-1)^6\cdot(i^2)^3=1\cdot (-1)^3=\boxed{-1}\\

Thank you

User Robert Watkins
by
8.0k points
5 votes
D) -1

i is (-1)^1/2, so (-i)^6 is ((-1)^1/2)^6 which is (-1)^3=-1.
User Troymass
by
8.1k points
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