How do you simplify $\sqrt[3]{\frac{1}{2}}$ $root3(1/2 )$ ?

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Answer 1 · 2017-01-29T00:40:14

Use this rule of exponents: $\sqrt[n]{x} = x^{\frac{1}{n}}$ $root(color(red)(n))(x) = x^(1/color(red)(n))$

$\sqrt[3]{\frac{1}{2}} = {(\frac{1}{2})}^{\frac{1}{3}}$ $root(color(red)(3))(1/2) = (1/2)^(1/color(red)(3))$

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