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)".

(2): "3.74" was replaced by "(374/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   374
  (——— • ((2)(-3)•(5)(-3)))4
   100

Step  2  :

            187
 Simplify   ———
            50 

Equation at the end of step  2  :

   187
  (——— • ((2)(-3)•(5)(-3)))4
   50 

Step  3  :

Multiplying exponents :

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

Raising to a Power :

 3.2    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Equation at the end of step  3  :

    187  
 (———————)4
  (24•55)

Step  4  :

 4.1     187 = 11•17

(187)⁴ = (11•17)⁴ = 11⁴ • 17⁴

Final result :

  (114•174)                                   
  ————————— = 1.95653 • 10-10 
  (216•520)