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Math Help - dividing cubed roots

  1. #1
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    dividing cubed roots

    \sqrt[3]{270}/\sqrt[3]{10}
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  2. #2
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    i was not sure how to make the cubed root of 270 go on to of the cubed root of 10 but thats the problem
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  3. #3
    o_O
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    \frac{\sqrt[3]{270}}{\sqrt[3]{10}} = \sqrt[3]{\frac{270}{10}} = \text{etc.}

    This works since:
    \frac{a^{c}}{b^{c}} = \left(\frac{a}{b}\right)^{c}

    where in this case c = \frac{1}{3}
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  4. #4
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    so its basically 270/10=27 then the cubed rot of 27 is 3 is that the answer or am i going in the wrrgone direction?
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  5. #5
    Moo
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    Hello,

    This is correct
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