Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

Step  1  :

 1.1     6 = 2•3

(6)⁷ = (2•3)⁷ = 2⁷ • 3⁷

Equation at the end of step  1  :

Step  2  :

 2.1     6 = 2•3

(6)^-3 = (2•3)^(-3) = (2)^(-3) • (3)^(-3)

Equation at the end of step  2  :

Step  3  :

            1         
 Divide  ———————  by  (27•37)
         (23•33)      

Multiplying exponents :

 3.1    2³  multiplied by  2⁷   = 2^{(3 + 7)} = 2¹⁰

Multiplying exponents :

 3.2    3³  multiplied by  3⁷   = 3^{(3 + 7)} = 3¹⁰

Final result :

      1                                      
  ————————— = 1.65382 • 10-8 
  (210•310)