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Math Help - Powers

  1. #1
    Senior Member Mukilab's Avatar
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    Powers

    Does 8^{\frac{1}{2}}=\sqrt{8} or \frac{1}{8}?

    Same with a negative fraction.

    Any tips?
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  2. #2
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    anything to the power of 1/2 is the square root of that base.

    8^1/2 = square root of 8

    anyting to the power of - means 1 over to that power

    8^-1/2 = 1/ 8^2 = 1/64
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  3. #3
    Senior Member Mukilab's Avatar
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    Quote Originally Posted by Joel View Post
    anything to the power of 1/2 is the square root of that base.

    8^1/2 = square root of 8

    anyting to the power of - means 1 over to that power

    8^-1/2 = 1/ 8^2 = 1/64
    Thanks Great explanation
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  4. #4
    Senior Member Mukilab's Avatar
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    Wait, lets say I get 8^-2/3

    would it be

    (2/8)^3???
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  5. #5
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    Quote Originally Posted by Mukilab View Post
    Wait, lets say I get 8^-2/3

    would it be

    (2/8)^3???
    no as Joel said "anyting to the power of - means 1 over to that power"

    8^-2/3 = 1/ 8^2/3
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