Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)".

(2): "1.585" was replaced by "(1585/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-9 = (2•5)^(-9) = (2)^(-9) • (5)^(-9)

Equation at the end of step  1  :

  1585
  ———— • ((2)(-9)•(5)(-9))
  1000

Step  2  :

            317
 Simplify   ———
            200

Equation at the end of step  2  :

  317
  ——— • ((2)(-9)•(5)(-9))
  200

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2⁹   = 2^{(3 + 9)} = 2¹²

Multiplying exponents :

 3.2    5²  multiplied by  5⁹   = 5^{(2 + 9)} = 5¹¹

Final result :

     317                                     
  ————————— = 1.58500 • 10-9 
  (212•511)