Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.7" was replaced by "(97/10)". 2 more similar replacement(s)

Step  1  :

            97
 Simplify   ——
            10

Equation at the end of step  1  :

  314    97
  ——— • (——)2)
  100    10

Step  2  :

 2.1     10 = 2•5 (10)² = (2•5)² = 2² • 5²

Equation at the end of step  2  :

  314     972  
  ——— • ———————
  100   (22•52)

Step  3  :

            157
 Simplify   ———
            50 

Equation at the end of step  3  :

  157     972  
  ——— • ———————
  50    (22•52)

Step  4  :

Multiplying exponents :

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

Multiplying exponents :

 4.2    5²  multiplied by  5²   = 5^{(2 + 2)} = 5⁴

Final result :

  (157•972)             
  ————————— = 295.44260 
    5000