Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-1" was replaced by "^(-1)".

(2): "2.22" was replaced by "(222/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-1 = (2•5)^(-1) = (2)^(-1) • (5)^(-1)

Equation at the end of step  1  :

  222
  ——— • ((2)(-1)•(5)(-1))
  100

Step  2  :

            111
 Simplify   ———
            50 

Equation at the end of step  2  :

  111
  ——— • ((2)(-1)•(5)(-1))
  50 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹   = 2^{(1 + 1)} = 2²

Multiplying exponents :

 3.2    5²  multiplied by  5¹   = 5^{(2 + 1)} = 5³

Final result :

  111           
  ——— = 0.22200 
  500