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Math Help - a fraction w/denominator that has a fraction power?

  1. #1
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    a fraction w/denominator that has a fraction power?

    How in the world would I do a problem like this?!

    it's:

    18
    _______
    (9^(3/2)



    In case you're not sure if you read that right or not, it would be read: 18 over 9 to the 3/2 power.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by deathtolife04 View Post
    How in the world would I do a problem like this?!

    it's:

    18
    _______
    (9^(3/2)



    In case you're not sure if you read that right or not, it would be read: 18 over 9 to the 3/2 power.
    what are you required to do? simplify?

    if so, change 18 to 2*9, pull the 2 out in front, and then see if you can take it from there
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  3. #3
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    Quote Originally Posted by Jhevon View Post
    what are you required to do? simplify?

    if so, change 18 to 2*9, pull the 2 out in front, and then see if you can take it from there
    oooh ok so wouldn't it just be 2/3?
    that was easier than it looked!
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by deathtolife04 View Post
    oooh ok so wouldn't it just be 2/3?
    that was easier than it looked!
    yes it was, good job!
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by deathtolife04 View Post
    How in the world would I do a problem like this?!

    it's:

    18
    _______
    (9^(3/2)



    In case you're not sure if you read that right or not, it would be read: 18 over 9 to the 3/2 power.
    \frac{18}{9^{3/2}}

    Or you could simply note that:
    9^{3/2} = \left ( 9^{1/2} \right ) ^3 = 3^3 = 27

    So
    \frac{18}{9^{3/2}} = \frac{18}{27} = \frac{2}{3}

    -Dan
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