Question

Como hace hace esto paso a paso?

Answer 1

Verified answer

[tex]Duitribuimos:[/tex]

[tex]\frac{\sqrt[5]{\frac{243}{32}}*(\frac{3}{2})^{4}*(\frac{2}{3})^{-6} }{((\frac{3}{2})^{2} )^{4} }[/tex]

[tex]\frac{\frac{\sqrt[5]{243} }{\sqrt[5]{32}}*\frac{(3)^{4} }{(2)^{4}}*(\frac{3}{2})^{6} }{(\frac{3}{2})^{8}}[/tex]

[tex]\frac{\frac{3}{2}*(\frac{3}{2})^{4}*\frac{3}{2}}{(\frac{3}{2})^{2}}[/tex]

[tex]\frac{\frac{3}{2}*(\frac{3}{2})^{2}*\frac{3}{2}}{\frac{3}{2} }[/tex]

[tex]\frac{\left(\frac{3}{2}\right)^2\left(\frac{3}{2}\right)^2}{\frac{3}{2}}[/tex]

[tex]=\frac{3\left(\frac{3}{2}\right)^2}{2}[/tex]

[tex]=\frac{3\cdot \frac{3^2}{2^2}}{2}[/tex]

[tex]=\frac{\frac{27}{4}}{2}[/tex]

[tex]\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}[/tex]

[tex]=\frac{27}{4\cdot \:2}[/tex]  [tex]=[/tex]  [tex]\frac{27}{8}[/tex]

Gracias  (；′⌒`)