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Math Help - Exponents - Simplifying

  1. #1
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    Exponents - Simplifying

    Simplify:

    Note: \uparrow means "to the power of"

    (2xy\uparrow 3)\uparrow 2 (xy)\uparrow 3
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  2. #2
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    Is it this:

    (2xy^{3})^{2}(xy)^{3}?

    If so, what have you tried so far?
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  3. #3
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    Yes it is that. I have tried distributing the 2 to 2x and y. Then distributing the 3 to the x and the y.

    Which got me this:
    (2x{2} y{5})(x{3} y{3})
    |
    v
    (4x y{5}) (x{3} y{3})


    Then I multiplied the first parenthesis by the second parenthesis:
    And I got this:

    4x{6}y{15}

    I checked at the back of my textbook but the answer is wrong.
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  4. #4
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    Exponents multiply in some situations, and add in others. You have, for example,

    (x^{2})^{3}=x^{2}x^{2}x^{2}=x^{2\times 3}=x^{6}.

    So they multiply in that circumstance. If I just have

    x^{2}x^{3}=x^{5},

    then they add. Do not confuse those two situations!

    You have made an error along these lines in your calculations. Try doing it again, with these rules in mind.
    Last edited by Ackbeet; May 10th 2011 at 10:17 AM. Reason: Clearer multiplication symbol.
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  5. #5
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    \left(2xy^3)^2=4x^2y^6
    Last edited by Plato; May 10th 2011 at 10:40 AM. Reason: Correction
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