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): ".9" was replaced by "(9/10)".

Step  1  :

             9
 Simplify   ——
            10

Equation at the end of step  1  :

            9
  (10-9) • ——
           10

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

                       9
  ((2)(-9)•(5)(-9)) • ——
                      10

Step  3  :

Multiplying exponents :

 3.1    2⁹  multiplied by  2¹   = 2^{(9 + 1)} = 2¹⁰

Multiplying exponents :

 3.2    5⁹  multiplied by  5¹   = 5^{(9 + 1)} = 5¹⁰

Final result :

      9                                       
  ————————— = 9.00000 • 10-10 
  (210•510)