Ensino Médio ⇒ Potências de Expoente Fracionário Tópico resolvido

[olgario]

Silplifique a expressão :

[tex3]\sqrt[3]{\large\frac{\sqrt{ab^3}\,.\,{\large\sqrt[4]{a^2b^5}}}{\large\sqrt[8]{a^6}}}[/tex3]

Atenciosamente
olgario

[joynobre]

[tex3]\sqrt[3]{\frac{\sqrt{ab^3}\,\cdot \,{\sqrt[4]{a^2b^5}}}{\sqrt[8]{a^6}}}[/tex3]

[tex3]\sqrt[3]{\frac{a^{\frac{1}{2}}b^{\frac{3}{2}}\,\cdot \,{{a^{\frac{2}{4}}b^{\frac{5}{4}}}}}{{a^{\frac{6}{8}}}}}[/tex3]

[tex3]\sqrt[3]{a^{\frac{1}{2}+\frac{1}{2}-\frac{6}{8}}\,\,\cdot \,\,b^{\frac{3}{2}+\frac{5}{4}}}[/tex3]

[tex3]\sqrt[3]{a^{\frac{1}{4}}\,\,\cdot \,\, b^{\frac{11}{4}}}[/tex3]

[tex3]a^{\frac{1}{12}}\,\,\cdot \,\, b^{\frac{11}{12}}[/tex3]

[tex3]\sqrt[12]{a\,\,\cdot \,\,b^{11}}[/tex3]