three specifics related to the Quotient Rule for exponents

Question

Describe three specifics related to the Quotient Rule for exponents and please give an example of each.

 

Thanks

Answer 1

x^a/x^b, where a>b,=x^a-b; example: 3⁵/3²=3³ (243/9=27)

x^a/x^b, where a<b,=x^a-b=1/x^b-a; 5²/5³=1/5¹=⅕ (25/125=⅕)

x^a/x^b, where a=b,=x⁰=1; a⁹/(a⁵×a⁴)=a⁹/a⁹=1