Asked by Chels
Simplify i^51
Im really not sure what they are saying. i to the 51ith power? Wouldnt it already be simplfied or what. It doesnt make sense to me.
Im really not sure what they are saying. i to the 51ith power? Wouldnt it already be simplfied or what. It doesnt make sense to me.
Answers
Answered by
drwls
i is sqrt (-1)
i^4 which is equal to (i^2)^2, or any integer power of i^4, is equal to 1
i^51 can be written i^48*i^3 = 1* i^3
Since i^2 = -1, i^3 = -i
So -i is the answer.
i^4 which is equal to (i^2)^2, or any integer power of i^4, is equal to 1
i^51 can be written i^48*i^3 = 1* i^3
Since i^2 = -1, i^3 = -i
So -i is the answer.
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