Given:
[tex]\frac{w^{13}}{w^7}^{}[/tex]To condense the expression using exponent properties, let's use quotient rules below:
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]Therefore, we have:
[tex]\frac{w^{13}}{w^7}=w^{13-7}=w^6^{}^{}[/tex]ANSWER:
[tex]w^6[/tex]