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5 votes
Simplify i^41. (2 points) i −1 −i 1

2 Answers

4 votes

Answer:

i

I got this right on the test!!

User Atabrizi
by
8.0k points
3 votes

Answer:


\large\boxed{i^(41)=i}

Explanation:


i=√(-1)\\\\i^2=-1\\\\(-1)^2=1\\\\\text{Use}\ a^n\cdot a^m=a^(n+m)\ \text{and}\ (a^n)^m=a^(nm):\\\\i^(41)=i^(40+1)=i^(40)\cdot i=i^(2\cdot20)\cdot i=(i^2)^(20)\cdot i=(-1)^(20)\cdot i=1\cdot i=i

User Halaster
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