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Math Help - Rationalize the denominator

  1. #1
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    Rationalize the denominator



    This one seems exceptionally hard :/

    So far I have it down to



    But I'm not sure if I'm even going the right route or not

    Thanks in advance

    ps: answer is x to the power of 1/5
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  2. #2
    Moo
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    Hello,

    Quote Originally Posted by silencecloak View Post


    This one seems exceptionally hard :/

    So far I have it down to



    But I'm not sure if I'm even going the right route or not

    Thanks in advance

    ps: answer is x to the power of 1/5
    Do you know about this definition ?

    \sqrt[n]{x}=x^{\frac 1n} ?

    This would help here !

    \sqrt[a]{x^b}=(x^b)^{\frac 1a}=x^{\frac ba}
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  3. #3
    o_O
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    a^{\frac{m}{n}} = \sqrt[n]{a^{m}} = \left(\sqrt[n]{a}\right)^{m}

    Think in fractional exponents by using the above relations. Then, you should be able to simplify with your exponent laws - specifically: \frac{a^{m}}{a^{n}} = a^{m-n}
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  4. #4
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    Ah well that wasn't so bad!

    Do either of you know a site that well, lists all or a lot of the pre calculus and algebra rules?

    That would help tons!

    Thanks
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