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Math Help - Factor and simplify the algebraic expression

  1. #1
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    Factor and simplify the algebraic expression

    Factor and simplify the algebraic expression

    (x+5)^-1/5 + (x+5)^-6/5



    a) (x+5)^ -1/5 + (x+5)^-6/5 b) (x+5)^6/5 (x+6)
    c) (x+6) / (x+5)^6/5 d) (x+6)/ (x+5)^1/5
    e) none of these
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by sri340 View Post
    Factor and simplify the algebraic expression

    (x+5)^-1/5 + (x+5)^-6/5



    a) (x+5)^ -1/5 + (x+5)^-6/5 b) (x+5)^6/5 (x+6)
    c) (x+6) / (x+5)^6/5 d) (x+6)/ (x+5)^1/5
    e) none of these

    (x+5)^{\frac{-1}{5}} + (x+5)^{\frac{-6}{5}}

    \frac{1}{(x+5)^{\frac{1}{5}}} + \frac{1}{(x+5)^{\frac{6}{5}}}

    \frac{1}{(x+5)^{\frac{1}{5}}} + \frac{1}{(x+5)\cdot (x+5)^{\frac{1}{5}}}

    \left(\frac{1}{(x+5)^{\frac{1}{5}}}\right)\left(1 + \frac{1}{x+5} \right)

    \left(\frac{1}{(x+5)^{\frac{1}{5}}} \right) \left(\frac{x+5+1}{x+5} \right)

    I think you can continue
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