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Math Help - multiplying expressions

  1. #1
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    multiplying expressions

    hi, this is my question:

    2X^2 x 3X x 4XY=?

    would the answer be 48XY?
    if not could you please explain where i am going wrong!

    Thanks
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  2. #2
    A Plied Mathematician
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    Are all those terms multiplied together? As in, do you have

    2x^{2} \times 3x \times 4xy?
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  3. #3
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    Quote Originally Posted by Ackbeet View Post
    Are all those terms multiplied together? As in, do you have

    2x^{2} \times 3x \times 4xy?

    yes thats correct
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  4. #4
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    Ok. Here's the thing you need to keep track of: x^{n}x^{m}=x^{n+m}. So, with exponents, multiplication of the bases turns into addition of the exponents. Make sense? Use that wherever you can here.
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  5. #5
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    Quote Originally Posted by Ackbeet View Post
    Ok. Here's the thing you need to keep track of: x^{n}x^{m}=x^{n+m}. So, with exponents, multiplication of the bases turns into addition of the exponents. Make sense? Use that wherever you can here.
    so would it = 24^2?
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  6. #6
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    Quote Originally Posted by andyboy179 View Post
    so would it = 24^2?
    No.
    2x^{2} \times 3x \times 4xy
    You multiply the numbers "separate" from the variables. You got that 2 x 3 x 4 = 24. What Ackbeet was getting at were the variables.

    Note that you have to multiply x^{2} \cdot x \cdot x (look at just the x's from the original expression). What is its product? Note that x = x^1
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  7. #7
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    Quote Originally Posted by eumyang View Post
    No.
    2x^{2} \times 3x \times 4xy
    You multiply the numbers "separate" from the variables. You got that 2 x 3 x 4 = 24. What Ackbeet was getting at were the variables.

    Note that you have to multiply x^{2} \cdot x \cdot x (look at just the x's from the original expression). What is its product? Note that x = x^1
    but if there is nothing at the top you are saying that it has one there, so 2x1=2 and again 2x1=2 so i don't understand how its not 24^2!?
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  8. #8
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    would it = 24x^4y?
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  9. #9
    A Plied Mathematician
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    Correct.
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