Question

es pa mañana T_T AYUDA

Answer 1

Explicación paso a paso:

a) $\sqrt[3]{\frac{64}{125}*\frac{1}{8} } = \sqrt[3]{\frac{64}{125} } * \sqrt[3]{\frac{1}{8} }$= $\frac{\sqrt[3]{64} }{\sqrt[3]{125} } * \frac{\sqrt[3]{1} }{\sqrt[3]{8} } = \frac{4}{5} *\frac{1}{2}$ = $\frac{4*1}{5*2} =\frac{4}{10} =\frac{2}{5}$

b)$\sqrt[3]{(\frac{12}{5} )}^{6}$ = $(\frac{12}{5} )^{\frac{6}{3} }$ = $(\frac{12}{5} )^2 =\frac{12^2}{5^2} =\frac{144}{25}$

c) $\sqrt[3]{\sqrt{\frac{64}{729} } } = \sqrt[3]{\frac{8}{27} } = \frac{\sqrt[3]{8} }{\sqrt[3]{27} }$ = $\frac{2}{3}$

d) $\sqrt{\frac{49}{9}/\frac{25}{81} } =\sqrt{\frac{49}{9} *\frac{81}{25} } =\sqrt{\frac{49}{9} } *\sqrt{\frac{81}{25} } =\frac{\sqrt{49} }{\sqrt9} } *\frac{\sqrt{81} }{\sqrt{25} } =\frac{7}{3} *\frac{9}{5} =\frac{7*9}{3*5} =\frac{63}{15} =\frac{21}{5}$

espero haberte ayudado  suerte!!!

Answer 2

Respuesta:

$\text{a)\quad}\sqrt[3]{\frac{64}{125}\times \frac{1}{8} }$

$=\sqrt[3]{\frac{8}{125} } = \frac{\sqrt[3]{8} }{\sqrt[3]{125} } =\frac{2}{5}$

$\text{b)\quad}\sqrt[3]{\left(\frac{12}{5}\right)^6 }$

$=\left(\frac{12}{5} \right)^\frac{6}{3}=\left(\frac{12}{5} \right)^2=\frac{12^2}{5^2}= \frac{144}{25}$

$\text{c)\quad}\sqrt[3]{\sqrt{\frac{64}{729} } }$

$=\sqrt[3]{\frac{\sqrt{64} }{\sqrt{729} } } =\sqrt[3]{\frac{8}{27} } =\frac{\sqrt[3]{8} }{\sqrt[3]{27} } =\frac{2}{3}$

$\text{d)\quad}\sqrt{\frac{49}{9}\div \frac{25}{81} }$

$=\sqrt{\frac{49}{9}\times \frac{81}{25} }=\sqrt{\frac{49\times 9}{25} } = \frac{\sqrt{49}\times \sqrt{9} }{\sqrt{25} } =\frac{7\times 3}{5} =\frac{21}{5}$