Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-8" was replaced by "^(-8)".

(2): "8.21" was replaced by "(821/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-8 = (2•5)^(-8) = (2)^(-8) • (5)^(-8)

Equation at the end of step  1  :

  821
  ——— • ((2)(-8)•(5)(-8))
  100

Step  2  :

            821
 Simplify   ———
            100

Equation at the end of step  2  :

  821
  ——— • ((2)(-8)•(5)(-8))
  100

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁸   = 2^{(2 + 8)} = 2¹⁰

Multiplying exponents :

 3.2    5²  multiplied by  5⁸   = 5^{(2 + 8)} = 5¹⁰

Final result :

     821                                     
  ————————— = 8.21000 • 10-8 
  (210•510)