Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-10" was replaced by "^(-10)".

(2): "5.46" was replaced by "(546/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  546
  ——— • ((2)(-10)•(5)(-10))
  100

Step  2  :

            273
 Simplify   ———
            50 

Equation at the end of step  2  :

  273
  ——— • ((2)(-10)•(5)(-10))
  50 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹⁰   = 2^{(1 + 10)} = 2¹¹

Multiplying exponents :

 3.2    5²  multiplied by  5¹⁰   = 5^{(2 + 10)} = 5¹²

Final result :

     273                                      
  ————————— = 5.46000 • 10-10 
  (211•512)