Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.1" was replaced by "(21/10)". 2 more similar replacement(s)

Step  1  :

            21
 Simplify   ——
            10

Equation at the end of step  1  :

   31      21
  {——}2 • (——)3)
   10      10

Step  2  :

 2.1     21 = 3•7

(21)³ = (3•7)³ = 3³ • 7³  2.2     10 = 2•5 (10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

   31     (33•73)
  {——}2 • ———————
   10     (23•53)

Step  3  :

            31
 Simplify   ——
            10

Equation at the end of step  3  :

   31      (33•73)
  (——)2) • ———————
   10      (23•53)

Step  4  :

 4.1     10 = 2•5 (10)² = (2•5)² = 2² • 5²

Equation at the end of step  4  :

    312     (33•73)
  ——————— • ———————
  (22•52)   (23•53)

Step  5  :

Multiplying exponents :

 5.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Multiplying exponents :

 5.2    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Final result :

  (312•33•73)            
  ——————————— = 88.99821 
    (25•55)