Solution 3.1:1c

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\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}.