Answer
$x^{7}y^{6}$
Work Step by Step
Based on the quotient rule for exponents, we know that $\frac{a^{m}}{{a}^{n}}=a^{m-n}, a\ne0$ (where $m$ and $n$ are positive integers and $a$ is a real number).
Therefore, $\frac{x^{12}y^{13}}{x^{5}y^{7}}=x^{12-5}\times y^{13-7}=x^{7}y^{6}$.
