Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-8" was replaced by "^(-8)".

(2): "8.14" was replaced by "(814/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-8 = (2•5)^(-8) = (2)^(-8) • (5)^(-8)

Equation at the end of step  1  :

  814
  ——— • ((2)(-8)•(5)(-8))
  100

Step  2  :

            407
 Simplify   ———
            50 

Equation at the end of step  2  :

  407
  ——— • ((2)(-8)•(5)(-8))
  50 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁸   = 2^{(1 + 8)} = 2⁹

Multiplying exponents :

 3.2    5²  multiplied by  5⁸   = 5^{(2 + 8)} = 5¹⁰

Final result :

     407                                    
  ———————— = 8.14000 • 10-8 
  (29•510)