Solution 3.1:1c

From Förberedande kurs i matematik 1

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<math>\sqrt[3]{3}</math>
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<center> [[Image:3_1_1c.gif]] </center>
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means
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<math>\text{3}^{\text{1}/\text{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>

Revision as of 10:06, 22 September 2008

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


\displaystyle \left( \sqrt[3]{3} \right)^{4}=\left( 3^{{1}/{3}\;} \right)^{4}=3^{\frac{1}{3}\centerdot 4}=3^{\frac{4}{3}}

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