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let i = the square root of -1 with i to the 1st power =i, i to the 2nd power= -1, i to the 3rd power =-i , i to the 4th power=1 find ito the power 215

  • college -

    i^215 = i^212*i^3 = i^3 = -i
    (i^212 = 1 because 212 is evenly divisible by 4)

    In other words,
    i^212 = (i^4)^53 = 1^53 = 1

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