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): "2.57" was replaced by "(257/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  257
  ——— • ((2)(-10)•(5)(-10))
  100

Step  2  :

            257
 Simplify   ———
            100

Equation at the end of step  2  :

  257
  ——— • ((2)(-10)•(5)(-10))
  100

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹⁰   = 2^{(2 + 10)} = 2¹²

Multiplying exponents :

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

Final result :

     257                                      
  ————————— = 2.57000 • 10-10 
  (212•512)