Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)". 1 more similar replacement(s)

(2): "7.4" was replaced by "(74/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   74
  (—— • ((2)(-3)•(5)(-3)))-2
   10

Step  2  :

            37
 Simplify   ——
            5 

Equation at the end of step  2  :

   37
  (—— • ((2)(-3)•(5)(-3)))-2
   5 

Step  3  :

Raising to a Power :

 3.1    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Equation at the end of step  3  :

   37 
 (————)-2
  5000

Step  4  :

 4.1     5000 = 2³•5⁴ (5000)^-2 = (2³•5⁴)^(-2) = (2)^(-6) • (5)^(-8)

Final result :

  1 • (26•58)
  ———————————
    1 • 372