Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex]\frac{7^{-1}}{7^{-2}}[/tex]
[tex]7^{-1-(-2)}[/tex]
[tex]7^{-1+2}[/tex]
[tex]7^{1}[/tex]
[tex]7[/tex]
I used the following rules:
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
[tex]a^1=a[/tex]
[tex]a \neq 0[/tex]
