Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-8" was replaced by "^(-8)".

(2): "1.166" was replaced by "(1166/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-8 = (2•5)^(-8) = (2)^(-8) • (5)^(-8)

Equation at the end of step  1  :

  1166
  ———— • ((2)(-8)•(5)(-8))
  1000

Step  2  :

            583
 Simplify   ———
            500

Equation at the end of step  2  :

  583
  ——— • ((2)(-8)•(5)(-8))
  500

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁸   = 2^{(2 + 8)} = 2¹⁰

Multiplying exponents :

 3.2    5³  multiplied by  5⁸   = 5^{(3 + 8)} = 5¹¹

Final result :

     583                                     
  ————————— = 1.16600 • 10-8 
  (210•511)