Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-39" was replaced by "^(-39)".

(2): "2.506" was replaced by "(2506/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-39 = (2•5)^(-39) = (2)^(-39) • (5)^(-39)

Equation at the end of step  1  :

  2506
  ———— • ((2)(-39)•(5)(-39))
  1000

Step  2  :

            1253
 Simplify   ————
            500 

Equation at the end of step  2  :

  1253
  ———— • ((2)(-39)•(5)(-39))
  500 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2³⁹   = 2^{(2 + 39)} = 2⁴¹

Multiplying exponents :

 3.2    5³  multiplied by  5³⁹   = 5^{(3 + 39)} = 5⁴²

Final result :

     1253                                     
  ————————— = 2.50600 • 10-39 
  (241•542)