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Math Help - Cube Root Equation

  1. #1
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    Cube Root Equation

    Hi,

    I need help with the following equation please -- I have almost no idea how to find the answer.



    Thank you
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  2. #2
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    Cubing both sides of the equation gives you

    x \sqrt{x} = 9^3,

    which can be written

    x^{\frac{3}{2}} = 9^3.

    Now, to get x on the left hand side, raise both sides to the 2/3 power:

    x = 9^2 = 81
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  3. #3
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    Quote Originally Posted by jessicagoode View Post
    Hi,

    I need help with the following equation please -- I have almost no idea how to find the answer.



    Thank you
    change the radicals to exponents ...

    \left(x \cdot x^{\frac{1}{2}} \right)^{\frac{1}{3}} = 9
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