Solution 3.1:1c
From Förberedande kurs i matematik 1
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<math>\sqrt[3]{3}</math>  | <math>\sqrt[3]{3}</math>  | ||
means    | means    | ||
| - | <math>  | + | <math>3^{1/3}~</math>  | 
and then  | and then  | ||
<math>\left( \sqrt[3]{3} \right)^{4}=\left( 3^{{1}/{3}\;} \right)^{4}=3^{\frac{1}{3}\centerdot 4}=3^{\frac{4}{3}}</math>  | <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 10:11, 22 September 2008
\displaystyle \sqrt[3]{3} means \displaystyle 3^{1/3}~ 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}}
