Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)".

(2): "21.4" was replaced by "(214/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  214
  ——— • ((2)(-5)•(5)(-5))
  10 

Step  2  :

            107
 Simplify   ———
             5 

Equation at the end of step  2  :

  107
  ——— • ((2)(-5)•(5)(-5))
   5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Final result :

    107             
  ——————— = 0.00021 
  (56•25)