Question

qual o resultado de:
$\sqrt{3 {}^{2} } . \sqrt[3]{3 {}^{2} }$
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Answer 1

$\sqrt{3^2} \cdot \sqrt[3]{3^2} =3^{\frac{2}{2}}\cdot3^{\frac{2}{3}}=3^{\frac{2}{2}+\frac{2}{3}}=3^{\frac{6}{6}+\frac{4}{6}}=3^{\frac{6+4}{6}}=3^{\frac{10^{:2}}{6_{:2}}}=3^{\frac{5}{3}}=\sqrt[3]{3^5}$

$\sqrt{3^2} \cdot \sqrt[3]{3^2} =3\cdot \sqrt[3]{3^2} =3^1\cdot 3^{\frac{2}{3}}=3^{1+\frac{2}{3}}= 3^{\frac{3}{3}+\frac{2}{3}} =3^{\frac{3+2}{3}} =3^{\frac{5}{3}}=\sqrt[3]{3^5}$