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Math Help - Simplifying an expression

  1. #1
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    Simplifying an expression

    Hi, I'm trying to understand how this expression is simplified. (Disclaimer: I don't know how to get this expression into the text here - so have entered it in Grapher, taken a screenshot, and attached it. If anyone could point me to the relevant FAQ on how to enter this kind of expression directly, I'd be much obliged).

    The answer given is the second screen shot.

    Thanks for your help.
    Attached Thumbnails Attached Thumbnails Simplifying an expression-1.8-51.jpg   Simplifying an expression-answer.jpg  
    Last edited by earachefl; July 7th 2007 at 11:15 AM. Reason: didn't display text properly
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by earachefl View Post
    Hi, I'm trying to understand how this expression is simplified. (Disclaimer: I don't know how to get this expression into the text here - so have entered it in Grapher, taken a screenshot, and attached it. If anyone could point me to the relevant FAQ on how to enter this kind of expression directly, I'd be much obliged).

    The book gives the answer as ??b?

    Thanks for your help.
    see here on how to write radical signs as powers.

    then notice that \sqrt[3] {b^2 \sqrt {b}} = \left(  b^2 \cdot b^{\frac {1}{2}} \right)^{\frac {1}{3}}

    Can you take it from here?
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  3. #3
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    Thanks for both the hint and the tips on writing exponents for the forum. Having said that, your link doesn't show how you entered your equation, which shows up in my browser as an image link with the source showing

    <a href="javascript:;" onclick="do_texpopup('\\sqrt[3] {b^2 \\sqrt {b}} = \\left( b^2 \\cdot b^{\\frac {1}{2}} \\right)^{\\frac {1}{3}}', 'math'); return false;"><img src="http://www.mathhelpforum.com/math-help/latex2/img/d8b692684f32d78cd66af4e9e3154f62-1.gif" alt="\sqrt[3] {b^2 \sqrt {b}} = \left( b^2 \cdot b^{\frac {1}{2}} \right)^{\frac {1}{3}}" title="\sqrt[3] {b^2 \sqrt {b}} = \left( b^2 \cdot b^{\frac {1}{2}} \right)^{\frac {1}{3}}" style="border: 0px; vertical-align: middle;" /></a
    So how do you do that?

    My problem was that I was looking at the b^2 part as being the index of b^(1/2), instead of just realizing that it was a simple multiplication of b^2 with b^(1/2).
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by earachefl View Post
    Thanks for both the hint and the tips on writing exponents for the forum. Having said that, your link doesn't show how you entered your equation, which shows up in my browser as an image link with the source showing



    So how do you do that?
    I'm sorry, i don't know what you are referring to here. are you talking about the pretty-math typing, or the diagram with the flower?


    My problem was that I was looking at the b^2 part as being the index of b^(1/2), instead of just realizing that it was a simple multiplication of b^2 with b^(1/2).
    so, are you able to work out the answer now? what is the answer?
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  5. #5
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    Quote Originally Posted by Jhevon View Post
    I'm sorry, i don't know what you are referring to here. are you talking about the pretty-math typing, or the diagram with the flower?
    Your answer showed a real honest-to-goodness equation, not like

    b^(5/6)

    which is the answer; it just doesn't look like an equation.
    Quote Originally Posted by Jhevon View Post
    so, are you able to work out the answer now? what is the answer?
    yes, thank, see above
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by earachefl View Post
    Your answer showed a real honest-to-goodness equation, not like

    b^(5/6)

    which is the answer; it just doesn't look like an equation.


    yes, thank, see above
    i used the equation to show that they were the same thing, not necessarily to solve the equation

    the complete answer would look something like:

    \sqrt[3] {b^2 \sqrt {b}} = \left(  b^2 \cdot b^{\frac {1}{2}} \right)^{\frac {1}{3}} = \boxed { b^{5/6} }
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  7. #7
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    Quote Originally Posted by Jhevon View Post
    i used the equation to show that they were the same thing, not necessarily to solve the equation

    the complete answer would look something like:

    \boxed { b^{5/6} }
    yes, I understand. What I'm trying to say is that the way your answers are graphically represented in my browser is better than just typing

    b^(5/6)

    as an example; your answers look like real equations! Are you typing in all that extra code

    \boxed { b^{5/6} }

    or is there a simpler way of doing it?
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