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Math Help - Factor and Simplify Algebraic Expression

  1. #1
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    Factor and Simplify Algebraic Expression

    I am doing some review questions for University and don't recall how to answer a question like this (my answer should only have positive exponents) .... Thanks!
     <br />
(x+3)^\frac{-1}{3}<br />
 <br />
-(x+3)^\frac{-4}{3}<br />
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  2. #2
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    Quote Originally Posted by bearhug View Post
    I am doing some review questions for University and don't recall how to answer a question like this (my answer should only have positive exponents) .... Thanks!
     <br />
(x+3)^\frac{-1}{3}<br />
 <br />
-(x+3)^\frac{-4}{3}<br />
    (x+3)^{-\frac{1}{3}} - (x+3)^{-\frac{4}{3}}

    common factor for both terms is (x+3)^{-\frac{4}{3}} ...

    (x+3)^{-\frac{4}{3}}[(x+3) - 1]

    (x+3)^{-\frac{4}{3}}(x+2)

    \frac{x+2}{(x+3)^{\frac{4}{3}}}<br />
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  3. #3
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    Quote Originally Posted by bearhug View Post
    I am doing some review questions for University and don't recall how to answer a question like this (my answer should only have positive exponents) .... Thanks!
     <br />
(x+3)^\frac{-1}{3}<br />
 <br />
-(x+3)^\frac{-4}{3}<br />
     <br />
(x+3)^\frac{-1}{3}<br />
 <br />
-(x+3)^\frac{-4}{3}<br />
= \frac{1}{(x+3)^\frac{1}{3}}-\frac{1}{(x+3)^\frac{4}{3}}= \frac{(x+3)-1}{(x+3)^\frac{4}{3}}=\frac{x+2}{(x+3)^\frac{4}{3}  }
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