Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-21" was replaced by "^(-21)".

(2): "9.54" was replaced by "(954/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-21 = (2•5)^(-21) = (2)^(-21) • (5)^(-21)

Equation at the end of step  1  :

  954
  ——— • ((2)(-21)•(5)(-21))
  100

Step  2  :

            477
 Simplify   ———
            50 

Equation at the end of step  2  :

  477
  ——— • ((2)(-21)•(5)(-21))
  50 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2²¹   = 2^{(1 + 21)} = 2²²

Multiplying exponents :

 3.2    5²  multiplied by  5²¹   = 5^{(2 + 21)} = 5²³

Final result :

     477                                      
  ————————— = 9.54000 • 10-21 
  (222•523)