Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-22" was replaced by "^(-22)".

(2): "2.37" was replaced by "(237/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-22 = (2•5)^(-22) = (2)^(-22) • (5)^(-22)

Equation at the end of step  1  :

  237
  ——— • ((2)(-22)•(5)(-22))
  100

Step  2  :

            237
 Simplify   ———
            100

Equation at the end of step  2  :

  237
  ——— • ((2)(-22)•(5)(-22))
  100

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2²²   = 2^{(2 + 22)} = 2²⁴

Multiplying exponents :

 3.2    5²  multiplied by  5²²   = 5^{(2 + 22)} = 5²⁴

Final result :

     237                                      
  ————————— = 2.37000 • 10-22 
  (224•524)