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): "9.92" was replaced by "(992/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  992
  ——— • ((2)(-3)•(5)(-3))
  100

Step  2  :

            248
 Simplify   ———
            25 

Equation at the end of step  2  :

  248
  ——— • ((2)(-3)•(5)(-3))
  25 

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Canceling Out :

 3.2      Canceling out  2³ as it appears on both sides of the fraction line

Final result :

   31            
  ———— = 0.00992 
  3125