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): "1.023" was replaced by "(1023/1000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  1023
  ———— • ((2)(-9)•(5)(-9))
  1000

Step  2  :

            1023
 Simplify   ————
            1000

Equation at the end of step  2  :

  1023
  ———— • ((2)(-9)•(5)(-9))
  1000

Step  3  :

Multiplying exponents :

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

Multiplying exponents :

 3.2    5³  multiplied by  5⁹   = 5^{(3 + 9)} = 5¹²

Final result :

     1023                                    
  ————————— = 1.02300 • 10-9 
  (212•512)