Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-7" was replaced by "^(-7)".

(2): "1.60891" was replaced by "(160891/100000)".

Step  1  :

 1.1     10 = 2•5

(10)^-7 = (2•5)^(-7) = (2)^(-7) • (5)^(-7)

Equation at the end of step  1  :

  160891
  —————— • ((2)(-7)•(5)(-7))
  100000

Step  2  :

            160891
 Simplify   ——————
            100000

Equation at the end of step  2  :

  160891
  —————— • ((2)(-7)•(5)(-7))
  100000

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2⁷   = 2^{(5 + 7)} = 2¹²

Multiplying exponents :

 3.2    5⁵  multiplied by  5⁷   = 5^{(5 + 7)} = 5¹²

Final result :

  (251•641)                                  
  ————————— = 1.60891 • 10-7 
  (212•512)