Solution - Power equations

Step  1  :

            3125
 Simplify   ————
             32 

Equation at the end of step  1  :

  3125
 (————)1) ÷ 5
   32 

Step  2  :

 2.1     3125 = 55

(3125)¹ = (5⁵)¹ = 5⁵  2.2     32 = 2⁵ (32)¹ = (2⁵)¹ = 2⁵

Equation at the end of step  2  :

  55
  —— ÷ 5
  25

Step  3  :

         55      
 Divide  ——  by  5
         25      

Dividing exponents :

 3.1    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Final result :

  625            
  ——— = 19.53125 
  32