Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-11" was replaced by "^(-11)".

(2): "5.09" was replaced by "(509/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-11 = (2•5)^(-11) = (2)^(-11) • (5)^(-11)

Equation at the end of step  1  :

  509
  ——— • ((2)(-11)•(5)(-11))
  100

Step  2  :

            509
 Simplify   ———
            100

Equation at the end of step  2  :

  509
  ——— • ((2)(-11)•(5)(-11))
  100

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹¹   = 2^{(2 + 11)} = 2¹³

Multiplying exponents :

 3.2    5²  multiplied by  5¹¹   = 5^{(2 + 11)} = 5¹³

Final result :

     509                                      
  ————————— = 5.09000 • 10-11 
  (213•513)