Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-15" was replaced by "^(-15)".

(2): "3.78" was replaced by "(378/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-15 = (2•5)^(-15) = (2)^(-15) • (5)^(-15)

Equation at the end of step  1  :

  378
  ——— • ((2)(-15)•(5)(-15))
  100

Step  2  :

            189
 Simplify   ———
            50 

Equation at the end of step  2  :

  189
  ——— • ((2)(-15)•(5)(-15))
  50 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹⁵   = 2^{(1 + 15)} = 2¹⁶

Multiplying exponents :

 3.2    5²  multiplied by  5¹⁵   = 5^{(2 + 15)} = 5¹⁷

Final result :

     189                                      
  ————————— = 3.78000 • 10-15 
  (216•517)