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Pre Calc

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My question is I^793

I think the answer is just I because it is the only number that can go into it. Is that correct?

  • Pre Calc -

    are you looking for factors of x^793?
    or i^793, where i is the sqrt(-1)?

    factors of x^793 are very numerous. x^793 is not a prime number.

    i^793=i^792 * 1
    Now consider
    i^2=-1
    i^4=1
    i^6=-1
    so the conclusion is that i^(4n-2) is -1
    otherwise, i to even is 1
    WEll, is 792=4n-2
    4n=794, or n is not an integer, so
    i^792=1
    finally, i^792*i= i and it has only one factor, i.

  • Pre Calc -

    So I was correct the answer is i right?

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