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Math Help - Rational Exponents

  1. #1
    Junior Member casey_k's Avatar
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    Rational Exponents

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  2. #2
    Junior Member ursa's Avatar
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    hi
    this you can re-write as:
    (3^3/4)(3^1/2)(3^3/4)(2^3/4)/(2^3/4)
    now I think you can calculate
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by ursa View Post
    hi
    this you can re-write as:
    (3^3/4)(3^1/2)(3^3/4)(2^3/4)/(2^1/4) <=== typo
    now I think you can calculate

    Using these two conversions:

    27^{\frac{1}{4}}=(3^3)^{\frac{1}{4}}=3^{\frac{3}{4  }}

    6^{\frac{3}{4}}=\sqrt[4]{6^3}=\sqrt[4]{216}=\sqrt[4]{3^3 \cdot 2^3}=(3^{\frac{3}{4}})(2^{\frac{3}{4}})

    It follows that

    \frac{(3^{\frac{3}{4}})(3^{\frac{1}{2}})(3^{\frac{  3}{4}})(2^{\frac{3}{4}})}{2^{\frac{1}{4}}}
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