Question

Como simplificar ($x^{5}y^{-2} : x^ {6} y^{-6}=$)

Answer 1

$x^5y^{-2}\div\,x^6y^{-6}=\\\\\frac{x^5y^{-2}}{x^6y^{-6}}=\\\\x^{5-6}\cdot\,y^{-2-(-6)}=\\\\x^{-1}\cdot\,y^{-2+6}=\\\\\boxed{x^{-1}y^4}}$