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Math Help - simplify algebraic

  1. #1
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    simplify algebraic

    hi can someone please help me simplify (3ab^2c)(c^6)? Thanks
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by gogegalgo View Post
    hi can someone please help me simplify (3ab^2c)(c^6)? Thanks
    Multiply the terms together.

    (3ab^2c)(c^6)=3ab^2{\color{red}c\cdot c^6}

    All you really need to do is get one c term in the expression.

    What is c\times c^6?

    Recall that when you multiply two exponential expressions together, you can add the exponents if and only if they have the same base:

    x^a\times x^b=x^{a+b}

    Try to take it from here.

    --Chris
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  3. #3
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    thanks for the reply but just to clarify: when multiplying terms like that you only combine the like terms, right? as in, the c^6 only gets combined to the c, not the 3, a, or b^2? or is the whole thing (3ab^2c) one term?
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  4. #4
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by gogegalgo View Post
    thanks for the reply but just to clarify: when multiplying terms like that you only combine the like terms, right? as in, the c^6 only gets combined to the c, not the 3, a, or b^2? or is the whole thing (3ab^2c) one term?
    3,~a,~\text{and }b^2 are individual terms that make up a larger term.

    So when you multiply the expressions together, you combine like terms.

    So in this case, it was just c and c^6

    Division follows the same kind of idea. But addition and subtraction follow different rules.

    I hope this clarifies things.

    --Chris
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