Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

(2): "6.1982" was replaced by "(61982/10000)".

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

   61982
  (————— • ((2)(-4)•(5)(-4)))2
   10000

Step  2  :

            30991
 Simplify   —————
            5000 

Equation at the end of step  2  :

   30991
  (————— • ((2)(-4)•(5)(-4)))2
   5000 

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2⁴   = 2^{(3 + 4)} = 2⁷

Multiplying exponents :

 3.2    5⁴  multiplied by  5⁴   = 5^{(4 + 4)} = 5⁸

Equation at the end of step  3  :

  (17•1823)
 (—————————)2
   (27•58) 

Step  4  :

Final result :

  (172•18232)                                  
  ——————————— = 3.84177 • 10-7 
   (214•516)