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Math Help - indices

  1. #1
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    indices

    hi, this is my question:
    ? 2????????? 3
    2ab divided ab
    ???????????3?4
    would it = 2ab

    PLEASE IGNORE THE ?s I NEED THEM THERE SO THE NUMBERS WILL BE ABOVE THE LETTERS. ON THE QUESTION 2 IS ABOVE a AND 3 IS ABOVE b.
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  2. #2
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    Quote Originally Posted by andyboy179 View Post
    hi, this is my question:
    ? 2????????? 3
    2ab divided ab
    ???????????3?4
    would it = 2ab

    PLEASE IGNORE THE ?s I NEED THEM THERE SO THE NUMBERS WILL BE ABOVE THE LETTERS. ON THE QUESTION 2 IS ABOVE a AND 3 IS ABOVE b.
    That still does not make a whole lot of sense. Powers are most simply represented by "^". That is (2a^2b) divided by (ab^3).

    No, that is not 2a^3b^4. Write this as the fraction (2a^2b)/(ab^3) and cancel where you can.
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  3. #3
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    Quote Originally Posted by HallsofIvy View Post
    That still does not make a whole lot of sense. Powers are most simply represented by "^". That is (2a^2b) divided by (ab^3).

    No, that is not 2a^3b^4. Write this as the fraction (2a^2b)/(ab^3) and cancel where you can.

    im confused! so i have this, (2a^2b)/(ab^3) would it = 2a^2b^3?
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  4. #4
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    Quote Originally Posted by andyboy179 View Post
    im confused! so i have this, (2a^2b)/(ab^3) would it = 2a^2b^3?
    \frac{2a^2 b}{ab^3} = \frac{2 \cdot a \cdot a \cdot b}{a \cdot b \cdot b \cdot b} = \frac{2a}{b^2}
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  5. #5
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    Quote Originally Posted by skeeter View Post
    \frac{2a^2 b}{ab^3} = \frac{2 \cdot a \cdot a \cdot b}{a \cdot b \cdot b \cdot b} = \frac{2a}{b^2}

    how did you get this \frac{2a}{b^2} ?

    because there are 2 a's on the top and 1 on the bottom and the line inbetween them means divide and 2 divide 1= 2. but on the top there is 1 b and on the bottom there is 3 b's and 1 divide 3 = 0.3
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  6. #6
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    Quote Originally Posted by andyboy179 View Post
    how did you get this \frac{2a}{b^2} ?

    because there are 2 a's on the top and 1 on the bottom and the line inbetween them means divide and 2 divide 1= 2. but on the top there is 1 b and on the bottom there is 3 b's and 1 divide 3 = 0.3
    no.

    you need a lesson on exponents ...

    Exponents: Basic Rules

    go through all 5 pages thoroughly.
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  7. #7
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    Or simply that <br />
\frac{2a^2 b}{ab^3} = \frac{2 \cdot a \cdot a \cdot b}{a \cdot b \cdot b \cdot b} = 2\left(\frac{a}{a}\right)\left(a\right)\left(\frac  {b}{b}\right)\left(\frac{1}{b^2}\right)

    And \frac{a}{a}= \frac{b}{b}= 1.
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