Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-7" was replaced by "^(-7)".

(2): "6.278" was replaced by "(6278/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-7 = (2•5)^(-7) = (2)^(-7) • (5)^(-7)

Equation at the end of step  1  :

  6278
  ———— • ((2)(-7)•(5)(-7))
  1000

Step  2  :

            3139
 Simplify   ————
            500 

Equation at the end of step  2  :

  3139
  ———— • ((2)(-7)•(5)(-7))
  500 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁷   = 2^{(2 + 7)} = 2⁹

Multiplying exponents :

 3.2    5³  multiplied by  5⁷   = 5^{(3 + 7)} = 5¹⁰

Final result :

    3139                                    
  ———————— = 6.27800 • 10-7 
  (29•510)