Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-25" was replaced by "^(-25)".

(2): "0.26" was replaced by "(26/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-25 = (2•5)^(-25) = (2)^(-25) • (5)^(-25)

Equation at the end of step  1  :

   26
  ——— • ((2)(-25)•(5)(-25))
  100

Step  2  :

            13
 Simplify   ——
            50

Equation at the end of step  2  :

  13
  —— • ((2)(-25)•(5)(-25))
  50

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2²⁵   = 2^{(1 + 25)} = 2²⁶

Multiplying exponents :

 3.2    5²  multiplied by  5²⁵   = 5^{(2 + 25)} = 5²⁷

Final result :

      13                                      
  ————————— = 2.60000 • 10-26 
  (226•527)