Product Rule Exponent 

When multiplying two expressions with the same base, you can add the exponents:

           a^m×a^n=a+n^a+m. 

So baisicaly what we did here is simple. We just are to Add the exponents. 

Note: The base need to be the Same. 

          5^3 * 5^2= 3+2= 5

Therefore, the answer will be 5^5. These could be simplifying as 5*5*5*5*5= 3,125.

So, the answer will be 3,125. 

Here is an example whenever the bases are not the Same. 

      4^2 * 3^3= 12^5 

So, the first step was that we were to multiply the bases which is 4*3 which gave us 12. The other step was to add the exponents, which are 2+3 which gave us 5. 

The difference is that whenever they don't have the same base we are to multiply and add the exponent, and whenever they have the same base, we are just to add the exponent. 

Some More Examples