Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "12.5" was replaced by "(125/10)". 2 more similar replacement(s)

Step  1  :

            25
 Simplify   ——
            2 

Equation at the end of step  1  :

  314    25
  ——— • (——)2)
  100    2 

Step  2  :

 2.1     25 = 52

(25)² = (5²)² = 5⁴

Equation at the end of step  2  :

  314   54
  ——— • ——
  100   22

Step  3  :

            157
 Simplify   ———
            50 

Equation at the end of step  3  :

  157   54
  ——— • ——
  50    22

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Dividing exponents :

 4.2    5⁴   divided by   5²   = 5^{(4 - 2)} = 5²

Final result :

  3925             
  ———— = 490.62500 
   8