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Math Help - Algebraic Operations

  1. #1
    Member cmf0106's Avatar
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    Algebraic Operations

    Hello everyone, I completed my last course in college algebra some 3 years ago, needless to say I am rusty at this point. Now I am close to graduating; however, I have learned that one of the requirements for graduate school is a full year of calculus. With that being said I have bought quit a few math related books, starting out with Algebra and working my way up. This is so I can eventually be prepared for calculus before ever stepping foot in the class. I also apologize as I could only find superscripts for 2 and 3 in word 2002.

    With that being established currently in my book I’m working with algebraic operations, and I think the book is incorrect regarding a specific example.

    Straight from the book on how to solve it:

    4a b (2ab) + 5ab^-2 (2a^4 b^7) +5

    • Multiply the variables together separately in each term
    4 2aabb+5 2aa^4 b^-2 b^7 + 5

    • Add the exponents of the variables that are alike
    8a^5 b^5 + 10a^5 b^5 + 5

    • Combine terms that are alike
    = (8 + 10) a^5 b^5 + 5 = 18a^5 b^5 + 5 for your final answer

    Making the transition from step 2 to 3 where did the other b^5 go? Since there are two b^5 shouldn’t the final answer be 18a^5 b^10 +5… it seems the author left a b^5. Would some one please confirm if this is correct, If I am wrong and the author is right would some one please instruct me as to where the other b^5 went?



    Many thanks
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  2. #2
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    yes when you have a power times a power, you add the exponents so I think you are correct.
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  3. #3
    A riddle wrapped in an enigma
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    Straight from the book on how to solve it:

    4a b (2ab) + 5ab^-2 (2a^4 b^7) +5
    • Multiply the variables together separately in each term
    4 2aabb+5 2aa^4 b^-2 b^7 + 5
    • Add the exponents of the variables that are alike
    8a^5 b^5 + 10a^5 b^5 + 5 There are 3 terms here. Two of them you can combine.

    8a^5b^5+10a^5b^5 combine into

    18a^5b^5

    Then just tack on the 5 and you have:

    18a^5b^5+5
    • Combine terms that are alike
    = (8 + 10) a^5 b^5 + 5 = 18a^5 b^5 + 5 for your final answer

    Making the transition from step 2 to 3 where did the other b^5 go? Since there are two b^5 shouldnt the final answer be 18a^5 b^10 +5 it seems the author left a b^5. Would some one please confirm if this is correct, If I am wrong and the author is right would some one please instruct me as to where the other b^5 went?
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  4. #4
    Member cmf0106's Avatar
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    Yes I spent a good hour of my morning look at this and reached the same conclusion, should have seen it! Many thanks for helping to confirm this Masters
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