Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-13" was replaced by "^(-13)".

(2): "5.11" was replaced by "(511/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-13 = (2•5)^(-13) = (2)^(-13) • (5)^(-13)

Equation at the end of step  1  :

  511
  ——— • ((2)(-13)•(5)(-13))
  100

Step  2  :

            511
 Simplify   ———
            100

Equation at the end of step  2  :

  511
  ——— • ((2)(-13)•(5)(-13))
  100

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹³   = 2^{(2 + 13)} = 2¹⁵

Multiplying exponents :

 3.2    5²  multiplied by  5¹³   = 5^{(2 + 13)} = 5¹⁵

Final result :

     511                                      
  ————————— = 5.11000 • 10-13 
  (215•515)