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): "4.19" was replaced by "(419/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  419
  ——— • ((2)(-2)•(5)(-2))
  100

Step  2  :

            419
 Simplify   ———
            100

Equation at the end of step  2  :

  419
  ——— • ((2)(-2)•(5)(-2))
  100

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2²   = 2^{(2 + 2)} = 2⁴

Multiplying exponents :

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

Final result :

    419             
  ——————— = 0.04190 
  (24•54)