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

asked Aug 19, 2021 83.0k views

4 votes

by Rudey

6.1k points

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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

5.8k points

5 votes

D) -1

i is (-1)^1/2, so (-i)^6 is ((-1)^1/2)^6 which is (-1)^3=-1.

Troymass answered Aug 25, 2021

6.1k points

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