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Simplifying expression with fractional power

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    Is there a simpler form for this? (I've come up with it as an intermediate step to solving a problem, but not sure I should proceed with it in this form.)

    3/2(x^3/2)?

    All I've come up with so far is 3/2{(sq rt x)^3}, but I don't think that's simpler...
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    \displaystyle \frac{3}{2} x^{\frac{3}{2}}

    If this is what you mean then it is already in its simplest form.

    If you need more help, post the whole problem.
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    Okay, because it's not in LaTeX, I am not sure what you mean. I'll consider the first case that I'm thinking.

    So, I see this: \left \frac {3}{2} \right x^{\frac {3}{2}}.

    Recall for x^{\frac {p}{q}}, where q\not=0, the expression becomes \sqrt[q] {x^p}.

    You should grab \frac {3x}{2} \sqrt {x}.
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    (Original post by SZRoberson)
    You should grab \frac {3x}{2} \sqrt {x}.
    I wouldn't call that a "simpler form" but it may be a useful form, depending on the question.
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    Yes, the expression was as both of you thought.

    Both answers helpful - thanks! I think notnek's form may well be useful, as it's one of the functions that I'm working on using the Product Rule for differentiation.
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    (Original post by Oldie)
    Yes, the expression was as both of you thought.

    Both answers helpful - thanks! I think notnek's form may well be useful, as it's one of the functions that I'm working on using the Product Rule for differentiation.
    Well, you won't really need the product rule for this one, seeing as a constant multiplier is out front.

    Just use the power rule.
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    (Original post by SZRoberson)
    Well, you won't really need the product rule for this one, seeing as a constant multiplier is out front.

    Just use the power rule.
    Oldie said that "it's one of the functions" so I'm assuming there is another and he will need to use the product rule.
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    I think she will. :-)

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Updated: April 17, 2012
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