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JJ
JJ asked in Science & MathematicsMathematics · 10 years ago

How to simplify i^1999?

Hello, so I know that I've learned how to do this, and I have other problems; i^2007, i^2012. But, I would appreciate it if you could walk me through it. My teacher is Ukrainian and impossible to understand. Thanks in advance.

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  • Green Exclamation Point
    Lv 4
    10 years ago
    Favorite Answer

    you divide the xponent by 4 and take the remainder. so 1999/4 = 499 R 3 and i^1999 = i^3 which is -i

  • daSVgrouch
    Lv 7
    10 years ago

    i^1999 = i^2000 / i

    i^2000 = (i^4)^500 = 1

    1 / i = -i

    i^1999 = -i

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