Question

Simplify 9^2/9^7. (4 points)

Answer 1

`=(1)/(9^5)`

Explanation:

`(9^2)/(9^7) \\\\\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)=x^(a-b)\\(9^2)/(9^7)=9^(2-7)\\\\=9^(-5)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^(-b)=(1)/(a^b)\\=(1)/(9^5)`