Question

Racionaliza cada exprecion
Necesito la letra c

Answer 1

Respuesta:

$2^{\frac{-4}{5} }m^{\frac{8}{5} }n^{\frac{-1}{5} }x^{\frac{3}{10} }$

Explicación paso a paso:

$\frac{m^3n\sqrt x}{\sqrt[5]{2^4 m^7n^6x} }\\\\ \frac{m^3n\sqrt x}{\sqrt[5]{2^4 m^7n^6x} } *\frac{\sqrt[5]{2m^3n^4x^4} }{\sqrt[5]{2m^3n^4x^4}} \\\\\frac{(m^3n\sqrt x)(\sqrt[5]{2m^3n^4x^4})}{\sqrt[5]{(2^4 m^7n^6x)({2m^3n^4x^4})} }\\\\\frac{(m^3n\sqrt x)(2^{1/5}m^{3/5}n^{4/5}x^{4/5})}{\sqrt[5]{2^5 m^{10}n^{10}x^5} } \\\\\frac{2^{1/5}m^{3+3/5}n^{1+4/5}x^{1/2+4/5}}{\sqrt[5]{2^5} \sqrt[5]{m^{10}} \sqrt[5]{n^{10}}\sqrt[5]{x^5} } \\\\\frac{2^{1/5}m^{18/5}n^{9/5}x^{13/10}}{2m^2n^2x } \\\\2^{1/5-1}m^{18/5-2}n^{9/5-2}x^{13/10-1}$

$2^{\frac{-4}{5} }m^{\frac{8}{5} }n^{\frac{-1}{5} }x^{\frac{3}{10} }$