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): "2.5869" was replaced by "(25869/10000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  25869
  ————— • ((2)(-10)•(5)(-10))
  10000

Step  2  :

            25869
 Simplify   —————
            10000

Equation at the end of step  2  :

  25869
  ————— • ((2)(-10)•(5)(-10))
  10000

Step  3  :

Multiplying exponents :

 3.1    2⁴  multiplied by  2¹⁰   = 2^{(4 + 10)} = 2¹⁴

Multiplying exponents :

 3.2    5⁴  multiplied by  5¹⁰   = 5^{(4 + 10)} = 5¹⁴

Final result :

   (3•8623)                                   
  ————————— = 2.58690 • 10-10 
  (214•514)