Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

(2): "8.314" was replaced by "(8314/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  1  :

  8314
  ———— • ((2)(-3)•(5)(-3))
  1000

Step  2  :

            4157
 Simplify   ————
            500 

Equation at the end of step  2  :

  4157
  ———— • ((2)(-3)•(5)(-3))
  500 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Multiplying exponents :

 3.2    5³  multiplied by  5³   = 5^{(3 + 3)} = 5⁶

Final result :

    4157            
  ——————— = 0.00831 
  (25•56)