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Math Help - Confirmation/aid for simplifying algebraic indices

  1. #1
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    Wink Confirmation/aid for simplifying algebraic indices

    Hello everyone.
    I have yet another pile of mathematics homework, and currently working on it. I need some confirmation and, if so, help on the following - can they be simplified any more than I have done?

    1. (6v^4)^2
    =  6^2 X (v^4)^2
    =  6^2 X v^8
    =  36v^8 Is this correct?

    2.  (a^3b^3) ^2
    =  a^6b^6 ?

    3.  (mn^4)^3
    = Help please!
    =  mn^12

    4.  a^2b^3 X ab^2
    = I am not sure on this...

    5.  r^5s^2 / r^2s
    = Explanation and guidance on this one...

    6.  (3m^2m^2) X 2n^2
    = Same as #5

    Thank you so much to all who help me in this dilemma!
    Last edited by JadeKiara; February 1st 2009 at 09:35 PM.
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Jade
    Quote Originally Posted by JadeKiara View Post
    I was just wondering, how soon is someone due to reply? I am in need of some explanations soon to help me work through these. Thank you.

    1. (6v^4)^2=6^2Xv^{4X2}=36v^8

    2. (a^3b^3) ^2=a^{3X2}Xb^{3X2}=a^6Xb^6

    3. (mn^4)^3=m^3Xn^{4X3}=m^3n^{12}

    4. a^2b^3 multiplied by (X) ab^2 = a^2Xb^3XaXb^2=a^{2+1}b^{3+2}

    5. r^5s^2 / r^2s= r^{5-2}s^{2-1}=r^{3}s

    6. (3m^2m^2) multiplied by (X) 2n^2= 3m^{2+2}X2n^2=6m^4n^2

    P.S. I have discovered a new technique as you can see!--Welldone
    Check the quoted thing
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  3. #3
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    Hi, ADARSH, my new buddy!

    Is the steps or answers in the quote? Thank you for either!
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  4. #4
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by JadeKiara View Post
    Hi, ADARSH, my new buddy!

    Is the steps / answers in the quote? Thank you for either!
    Yep my new buddy
    Formulae
    -- x^a Xx^b= x^{a+b}

    -- \frac{x^a}{x^b}=x^{a-b}

    --  (x^a)^b=x^{aXb}
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  5. #5
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    Well, I guess we have reached the end of this post, ADARSH. I thank you for your help and explanations (I really appreciate the formulae too, it adds to my mathematic knowledge. Did you remember it by memory or do you have it nearby on a piece of paper?).

    Best wishes and good luck (and may we meet again),

    Jade

    Last edited by JadeKiara; February 2nd 2009 at 12:09 AM.
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  6. #6
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by JadeKiara View Post
    Did you remember it by memory or do you have it nearby on a piece of paper?).
    Hey Jade , Remember that you need to remember these formulae if you want to solve questions of maths
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  7. #7
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    Quote Originally Posted by ADARSH View Post
    Jade

    Check the quoted thing
    ADARSH, just checking, did you realise that in r^5s^2 / r^2s  , the / is a divided sign?
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  8. #8
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by JadeKiara View Post
    ADARSH, just checking, did you realise that in r^5s^2 / r^2s , the / is a divided sign?
    I think this is what you meant
    \frac{r^5s^2}{r^2s} = \frac{r^3}{s}
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  9. #9
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    Yes, I actually worked it out on paper and I found that to be the answer. I see that you are from New Delhi. You speak English well!
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