Solution - Power equations

Step  1  :

 1.1     3125 = 55

(3125)¹ = (5⁵)¹ = 5⁵

Equation at the end of step  1  :

Step  2  :

            55
 Simplify   ——
            5 

Dividing exponents :

 2.1    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Final result :

  625