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): "3.7" was replaced by "(37/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   37
  (—— • ((2)(-8)•(5)(-8)))2
   10

Step  2  :

            37
 Simplify   ——
            10

Equation at the end of step  2  :

   37
  (—— • ((2)(-8)•(5)(-8)))2
   10

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁸   = 2^{(1 + 8)} = 2⁹

Multiplying exponents :

 3.2    5¹  multiplied by  5⁸   = 5^{(1 + 8)} = 5⁹

Equation at the end of step  3  :

     37  
 (———————)2
  (29•59)

Step  4  :

Final result :

     372                                      
  ————————— = 1.36900 • 10-15 
  (218•518)