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math

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what do you know about the sign of a negative integer raised to an odd power and even power

  • math - ,

    Look at a number such as -2. Raised to an even power (say 2) is -2*-2 = +4.
    Or raised to 4 (another even power) is -2*-2*-2*-2 = +16. Both 4 and 16 are positive numbers.
    Raise -2 to an odd power (say 3) and we have -2*-2*-2 = -8 (a negative answer).
    Or raised to -5 is
    -2*-2*-2*-2*-2 = -32 (a negative answer). You should be able to get the connection from these example.

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