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Math Help - simplify an expression

  1. #1
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    simplify an expression

    need help with this one:

    ((^3(a^4 * b)^0.5)) / ((ab^3)) ) * ((^4(a^3 * b)^0.5) / ((a^3 * b)))

    a, b > 0

    and i also wonder how i write the equations better, more symbols and stuff like that.

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  2. #2
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    Why not learn to post in symbols? You can use LaTeX tags
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  3. #3
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    [tex]((^3sqrt{a^4 * b)}) / ((ab^3)) ) * ((^4sqrt{a^3 * b} / ((a^3 * b)))[\math]
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  4. #4
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    that did not went so well :/
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  5. #5
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by paulaa View Post
    ((^3sqrt{a^4 * b)}) / ((ab^3)) ) * ((^4sqrt{a^3 * b} / ((a^3 * b)))
    Forward stroke to close the tag Do you happen to mean the following?

    \dfrac{\sqrt[3]{a^4b}}{ab^3} \times \dfrac{\sqrt[4]{a^3b}}{a^3b}

    LaTeX will come better with practice

    If so remember that the nth root is also the fractional power: \sqrt[3]{a} = a^{1/3}

    You can also use the rule that says (for ab \geq 0): \sqrt[a]{bc} = \sqrt[a]{b} \times \sqrt[a]{c}
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  6. #6
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    hah yees that was wat i meant, thx :
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  7. #7
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    Quote Originally Posted by e^(i*pi) View Post
    Forward stroke to close the tag Do you happen to mean the following?

    \dfrac{\sqrt[3]{a^4b}}{ab^3} \times \dfrac{\sqrt[4]{a^3b}}{a^3b}

    LaTeX will come better with practice

    If so remember that the nth root is also the fractional power: \sqrt[3]{a} = a^{1/3}

    You can also use the rule that says (for ab \geq 0): \sqrt[a]{bc} = \sqrt[a]{b} \times \sqrt[a]{c}
    Quote Originally Posted by paulaa View Post
    hah yees that was wat i meant, thx :
    You can always double click someone's latex code to see what they typed, it's much the same method I used to learn it

    Back to the question in hand:

    Once you distribute the fractional power and used the laws of exponents it should reduce to \dfrac{a^{4/3}b^{1/3}}{a^1b^3} \times \dfrac{a^{3/4}b^{1/4}}{a^3b} = a^{(4/3 - 1)}b^{(1/3 - 3)} \times a^{(3/4 -3)}b^{(1/4-1)}
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