Solution 3.1:1c

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Current revision (07:37, 30 September 2008) (edit) (undo)
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<math>\sqrt[3]{3}</math> means <math>3^{1/3}</math> and then
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<math>\sqrt[3]{3}</math>
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{{Displayed math||<math>\bigl(\sqrt[3]{3}\bigr)^{4} = \bigl(3^{1/3}\bigr)^{4} = 3^{\frac{1}{3}\cdot 4} = 3^{4/3}</math>.}}
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means
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<math>3^{1/3}~</math>
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and then
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<math>\left( \sqrt[3]{3} \right)^{4}=\left( 3^{{1}/{3}\;} \right)^{4}=3^{\frac{1}{3}\centerdot 4}=3^{\frac{4}{3}}</math>
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Current revision

\displaystyle \sqrt[3]{3} means \displaystyle 3^{1/3} and then

\displaystyle \bigl(\sqrt[3]{3}\bigr)^{4} = \bigl(3^{1/3}\bigr)^{4} = 3^{\frac{1}{3}\cdot 4} = 3^{4/3}.
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