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Math Help - [SOLVED] Fractions with powers

  1. #1
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    [SOLVED] Fractions with powers

    I'm running through some homework and have got the question
    find the gradient of the following curve at the given point

    f(x) = 1 / x^2 @ (2, 0.25)

    so I looked at 1 / x^2

    and I'm thinking

    if x^-1 = 1 / x
    will 1/x^2 = x^-2? Or -x^2 ?

    Or am I just going off on one?
    Thankyou for any help you can provide
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Corko93 View Post
    I'm running through some homework and have got the question
    find the gradient of the following curve at the given point

    f(x) = 1 / x^2 @ (2, 0.25)

    so I looked at 1 / x^2

    and I'm thinking

    if x^-1 = 1 / x
    will 1/x^2 = x^-2? Or -x^2 ?

    Or am I just going off on one?
    Thankyou for any help you can provide
    \frac 1{x^2} = x^{-2} since \frac 1{x^a} = x^{-a}

    powers do not change the sign of the base
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  3. #3
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    Quote Originally Posted by Jhevon View Post
    \frac 1{x^2} = x^{-2} since \frac 1{x^a} = x^{-a}

    powers do not change the sign of the base
    Thankyou very much!
    I'l note this down in my revision sheet
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