Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "2.18" was replaced by "(218/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   218
  (——— • ((2)(-2)•(5)(-2)))2
   100

Step  2  :

            109
 Simplify   ———
            50 

Equation at the end of step  2  :

   109
  (——— • ((2)(-2)•(5)(-2)))2
   50 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Raising to a Power :

 3.2    5²  multiplied by  5²   = 5^{(2 + 2)} = 5⁴

Equation at the end of step  3  :

   109
 (————)2
  5000

Step  4  :

 4.1     5000 = 2³•5⁴ (5000)² = (2³•5⁴)² = 2⁶ • 5⁸

Final result :

    1092            
  ——————— = 0.00048 
  (26•58)