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Math Help - Simple roots expression

  1. #1
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    Simple roots expression

    Not sure how to solve this, the book just shows the answer and not how to solve it.


    6x^2\sqrt{x}

    answer is
    6x^{5/2}

    I though perhaps converting to a fraction would work...
    6x^2 * x^{1/2} but thats incorrect it seems.

    Thanks
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  2. #2
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    Quote Originally Posted by allyourbass2212 View Post
    Not sure how to solve this, the book just shows the answer and not how to solve it.


    6x^2\sqrt{x}

    answer is
    6x^{5/2}

    I though perhaps converting to a fraction would work...
    6x^2 * x^{1/2} but thats incorrect it seems.

    Thanks

     <br />
6x^2 \cdot x^{\frac{1}{2}}=6x^{2+\frac{1}{2}}=6x^{\frac{5}{2}  }<br />
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by allyourbass2212 View Post
    Not sure how to solve this, the book just shows the answer and not how to solve it.


    6x^2\sqrt{x}

    answer is
    6x^{5/2}

    I though perhaps converting to a fraction would work...
    6x^2 * x^{1/2} but thats incorrect it seems.

    Thanks
    Hi allyourbass2212,

    6x^2 \sqrt{x}=6x^2 \cdot x^{1/2}=6x^{4/2} \cdot x^{1/2}=6x^{5/2}

    Just remember this: x^a \cdot x^b=x^{a+b}
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