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): "5.38" was replaced by "(538/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  538
  ——— • ((2)(-3)•(5)(-3))
  100

Step  2  :

            269
 Simplify   ———
            50 

Equation at the end of step  2  :

  269
  ——— • ((2)(-3)•(5)(-3))
  50 

Step  3  :

Multiplying exponents :

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

Multiplying exponents :

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

Final result :

    269             
  ——————— = 0.00538 
  (24•55)