Respuesta:
1) [tex]-\frac{19}{14}[/tex]
2) [tex]\frac{29}{9} + \sqrt[5]{35}[/tex]
Explicación paso a paso:
1)
[tex](\frac{\sqrt[3]{125} }{\sqrt{64} } *\frac{\sqrt[3]{8} }{\sqrt[3]{27} } : \frac{5}{6})-\frac{13}{7} \\(\frac{5}{8}*\frac{2}{3} : \frac{5}{6} )-\frac{13}{7}\\(\frac{5}{12} : \frac{5}{6} )-\frac{13}{7}\\\frac{1}{2} - \frac{13}{7} \\-\frac{19}{14}[/tex]
2)
[tex]\frac{5}{6}*\sqrt{36}-(\frac{4}{3})^{2} + \sqrt[5]{35}\\ \frac{5}{6} *\sqrt{36} - \frac{16}{9}+\sqrt[5]{35} \\ \frac{5}{6} *6-\frac{16}{9} +\sqrt[5]{35} \\5-\frac{16}{9} +\sqrt[5]{35} \\\frac{29}{9}+\sqrt[5]{35}[/tex]
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Respuesta:
1) [tex]-\frac{19}{14}[/tex]
2) [tex]\frac{29}{9} + \sqrt[5]{35}[/tex]
Explicación paso a paso:
1)
[tex](\frac{\sqrt[3]{125} }{\sqrt{64} } *\frac{\sqrt[3]{8} }{\sqrt[3]{27} } : \frac{5}{6})-\frac{13}{7} \\(\frac{5}{8}*\frac{2}{3} : \frac{5}{6} )-\frac{13}{7}\\(\frac{5}{12} : \frac{5}{6} )-\frac{13}{7}\\\frac{1}{2} - \frac{13}{7} \\-\frac{19}{14}[/tex]
2)
[tex]\frac{5}{6}*\sqrt{36}-(\frac{4}{3})^{2} + \sqrt[5]{35}\\ \frac{5}{6} *\sqrt{36} - \frac{16}{9}+\sqrt[5]{35} \\ \frac{5}{6} *6-\frac{16}{9} +\sqrt[5]{35} \\5-\frac{16}{9} +\sqrt[5]{35} \\\frac{29}{9}+\sqrt[5]{35}[/tex]