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Math Help - equivalent expressions with +exponents and smiplify

  1. #1
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    equivalent expressions with +exponents and smiplify

    equivalent expressions with possitive exponents and smiplify

    1. x^-1/3 read x raised to the negative one over 3
    2.(5xy)^-5/6
    3(1/8)^-1/3
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by imbadatmath View Post
    equivalent expressions with possitive exponents and smiplify

    1. x^-1/3 read x raised to the negative one over 3
    2.(5xy)^-5/6
    3(1/8)^-1/3
    x^{\frac{-x}{3}}=\frac{1}{x^{\frac{1}{3}}}

    (5xy)^{\frac{-5}{6}}=\frac{1}{(5^{frac{5}{6}}x^{\frac{5}{6}}y^{\  frac{5}{6}}}

    for the third one note that \frac{1}{8}=\frac{1}{2^3}=2^{-3}

    therefore \bigg(\frac{1}{8}\bigg)^{\frac{-1}{3}}=(2^{-3})^{\frac{-1}{3}}=2^{\frac{-1}{3}\cdot{-3}}=2^1=2
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  3. #3
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    thanks alot man
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by imbadatmath View Post
    thanks alot man
    No problem...you can thank those who help
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