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): "6.66667" was replaced by "(666667/100000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  666667
  —————— • ((2)(-8)•(5)(-8))
  100000

Step  2  :

            666667
 Simplify   ——————
            100000

Equation at the end of step  2  :

  666667
  —————— • ((2)(-8)•(5)(-8))
  100000

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2⁸   = 2^{(5 + 8)} = 2¹³

Multiplying exponents :

 3.2    5⁵  multiplied by  5⁸   = 5^{(5 + 8)} = 5¹³

Final result :

    666667                                   
  ————————— = 6.66667 • 10-8 
  (213•513)