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Answer :

Given for problem number 41:

[tex]i^8[/tex]

As we know:

[tex]i=\sqrt[]{-1}\rightarrow i^2=-1[/tex]

So, we will calculate the given expression as follows:

[tex]i^8=(i^2)^4=(-1)^4=1[/tex]

So, the answer will be = 1

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