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)". 1 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

       2  
  ((—————— • 6) • ((2)(-7)•(5)(-7))) • 2
    (10-3)

Step  2  :

 2.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  2  :

            2        
  ((————————————————— • 6) • ((2)(-7)•(5)(-7))) • 2
    ((2)(-3)•(5)(-3)) 

Step  3  :

                   1   
 Divide  2  by  ———————
                (23•53)

Multiplying exponents :

 3.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Equation at the end of step  3  :

  (((24•53) • 6) • ((2)(-7)•(5)(-7))) • 2

Step  4  :

Multiplying exponents :

 4.1    2⁴  multiplied by  2¹   = 2^{(4 + 1)} = 2⁵

Equation at the end of step  4  :

  ((25•53•3) • ((2)(-7)•(5)(-7))) • 2
 Step  5  :

Final result :

    3            
  ———— = 0.00240 
  1250