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): "6.89655" was replaced by "(689655/100000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  689655
  —————— • ((2)(-4)•(5)(-4))
  100000

Step  2  :

            137931
 Simplify   ——————
            20000 

Equation at the end of step  2  :

  137931
  —————— • ((2)(-4)•(5)(-4))
  20000 

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2⁴   = 2^{(5 + 4)} = 2⁹

Multiplying exponents :

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

Final result :

  (3•23•1999)           
  ——————————— = 0.00069 
    (29•58)