Solution - Power equations

Step  1  :

 1.1     3125 = 55

(3125)² = (5⁵)² = 5¹⁰

Equation at the end of step  1  :

Step  2  :

            510
 Simplify   ———
             5 

Dividing exponents :

 2.1    5¹⁰   divided by   5¹   = 5^{(10 - 1)} = 5⁹

Final result :

  59