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): ".11" was replaced by "(11/100)".

Step  1  :

             11
 Simplify   ———
            100

Equation at the end of step  1  :

            11
  (10-8) • ———
           100

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

                       11
  ((2)(-8)•(5)(-8)) • ———
                      100

Step  3  :

Multiplying exponents :

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

Multiplying exponents :

 3.2    5⁸  multiplied by  5²   = 5^{(8 + 2)} = 5¹⁰

Final result :

      11                                     
  ————————— = 1.10000 • 10-9 
  (210•510)