Answer:
[tex]a^-^7[/tex]
Step-by-step explanation:
[tex]\frac{a^{-13}}{a^{-6}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]=a^{-13-\left(-6\right)}[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=a^{-13+6}[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-13+6=-7[/tex]
[tex]=a^{-7}[/tex]
Answer [tex]=a^{-7}[/tex]
~Learn with Lenvy~
