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Thread: fraction exponent in denominator

  1. October 14th 2008, 12:32 PM #1
    Shadowfox1
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    fraction exponent in denominator

    I have ln[1/sqrt(x)]

    I
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  2. October 14th 2008, 12:34 PM #2
    icemanfan
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    You can write \frac{1}{\sqrt{x}} as x^{-1/2}.
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  3. October 14th 2008, 12:47 PM #3
    Shadowfox1
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    ok. how would it be simplified into -.5ln[x] though?
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  4. October 14th 2008, 12:49 PM #4
    masters
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    Quote Originally Posted by Shadowfox1 View Post
    I have ln[1/sqrt(x)]

    I
    \ln \frac{1}{\sqrt{x}} = \ln \frac{1}{x^{\frac{1}{2}}}= \ln x^{-\frac{1}{2}}= -\frac{1}{2} \ln x = -\frac{\ln x}{2}
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  5. October 14th 2008, 01:13 PM #5
    Shadowfox1
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    o ok. that makes sense. So can I always bring down the exponent when its negative?
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