when 2 exponents of like bases are divided, you can subtract the exponents
1. [tex] \frac{9^6}{9^7} = \frac{1}{9} [/tex]
2. [tex] \frac{9^2}{9^7} = \frac{1}{9^5} [/tex]
3. [tex]9^5 = 9^5[/tex]
4. [tex] \frac{1}{9^9} = \frac{1}{9^9} [/tex]
5. negative exponents mean move to opposite sides, so
[tex] \frac{1}{9^{-5}} = \frac{9^5}{1}=9^5 [/tex]
6. [tex] \frac{1}{9^5} = \frac{1}{9^5} [/tex]
