Question

$(2 \sqrt[3]{3}) {}^{4}$
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Answer 1

Resposta:

$(2 \sqrt[3]{3})^{4} =(2.3^{\frac{1}{3}})^{4}=2^{4}.3^{\frac{4}{3}}=2^{4}.(3^{\frac{3}{3}}.3^{\frac{1}{3}})=2^{4}.3^{\frac{3}{3}}.3^{\frac{1}{3}}=2^{4}.3^{1}.3^{\frac{1}{3}}=16.3.\sqrt[3]{3} =48\sqrt[3]{3}$