Quotient Rule 

Divide two powers with the same base by subtracting the exponent in the denominator from the exponent in the numerator, simplifying expressions involving exponents. 

In simple words the quotient rule states that when you divide two expressions with the same base, you subtract the exponents. For example: 

a^n /a^m=a^m−n    

       (where a is not equal to 0). 

Example: 

     y^6/y^3=y^6-3= y^3 

So, the first thing we did here is that we subtract the exponents because, the variables are the same. It is like the product rule the different is that the product rule is addition, and the quotient rule is subtraction. 

Examples when the Bases are not the same. 

e.g. 8a^3/4a^2= (8/4) a=2a^3-2=2a  

Explanation: 

In this example we can notice that 8 can be divided by 4 which gives us 2. Also, we can see that the variable is the same, so we keep the variable. Lastly, we subtract the exponent 3-2 which gives us 1. So, the answer will be 2a. It is not necessarily to write the 1 because we know that there is an invisible 1 as the exponent.