Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

   (65)
  {————}2
    73 

Step  2  :

 2.1     6 = 2•3

(6)⁵ = (2•3)⁵ = 2⁵ • 3⁵

Equation at the end of step  2  :

   (25•35)
  {———————}2
     73   

Step  3  :

            (25•35)
 Simplify   ———————
              73   

Equation at the end of step  3  :

  7776
 (————)2
  343 

Step  4  :

 4.1     7776 = 25•35

(7776)² = (2⁵•3⁵)² = 2¹⁰ • 3¹⁰  4.2     343 = 7³ (343)² = (7³)² = 7⁶

Final result :

  (210•310)              
  ————————— = 513.95402 
     76