Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-50" was replaced by "^(-50)".

(2): ".0005" was replaced by "(0005/10000)". 2 more similar replacement(s)

Step  1  :

              1 
 Simplify   ————
            2000

Equation at the end of step  1  :

   49                1 
  (—— • (10-50)) • ————
   10              2000

Step  2  :

 2.1     10 = 2•5

(10)^-50 = (2•5)^(-50) = (2)^(-50) • (5)^(-50)

Equation at the end of step  2  :

   49                            1 
  (—— • ((2)(-50)•(5)(-50))) • ————
   10                          2000

Step  3  :

            49
 Simplify   ——
            10

Equation at the end of step  3  :

   49                            1 
  (—— • ((2)(-50)•(5)(-50))) • ————
   10                          2000

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2⁵⁰   = 2^{(1 + 50)} = 2⁵¹

Multiplying exponents :

 4.2    5¹  multiplied by  5⁵⁰   = 5^{(1 + 50)} = 5⁵¹

Equation at the end of step  4  :

      49        1 
  ————————— • ————
  (251•551)    2000

Step  5  :

Multiplying exponents :

 5.1    2⁵¹  multiplied by  2⁴   = 2^{(51 + 4)} = 2⁵⁵

Multiplying exponents :

 5.2    5⁵¹  multiplied by  5³   = 5^{(51 + 3)} = 5⁵⁴

Final result :

      49                                      
  ————————— = 2.45000 • 10-53 
  (255•554)