Question

alguien sabe cómo se resuelve???

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Answer 1

Reducir o simplificar

$\bf H =\dfrac{(x^{2} *y^{5})^{3} *(x^{4}*y^{3})*(x*y)^{3}}{(x^{4}*y^{5})^{3}*(x^{2} * y)^{3} } \\ \\ \\ \bf H =\dfrac{(x^{2})^{3} *(y^{5})^{3} *(x^{4}*y^{3})*(x)^{3} *(y)^{3}}{(x^{4})^{3} *(y^{5})^{3}*(x^{2})^{3} *( y)^{3} } \\ \\ \\ \bf H =\dfrac{(x^{6}) *(y^{15}) *(x^{4})*(y^{3})*(x)^{3} *(y)^{3}}{(x^{12}) *(y^{15})*(x^{6}) *( y)^{3} }\\ \\ \\ \\ \bf H =\dfrac{(x^{6+4+3}) *(y^{15+3+3 })}{(x^{12+6}) *(y^{15+3})} \\ \\ \\ \\ \bf H =\dfrac{(x^{13}) *(y^{21 })}{(x^{18}) *(y^{18})}$

$\\ \bf H= (x^{13-18}) *(y^{21-18 }) \\ \\ \\ \bf H= (x^{-5}) *(y^{3 }) \\ \\ \\ \bf H= (\frac{1}{x^{5}}}) *(y^{3 }) \qquad \to\qquad H = \dfrac{y^{3}}{x^{5} }$

Espero que te sirva, salu2!!!!