Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

(2): "4.62" was replaced by "(462/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

  462
  ——— • ((2)(-4)•(5)(-4))
  100

Step  2  :

            231
 Simplify   ———
            50 

Equation at the end of step  2  :

  231
  ——— • ((2)(-4)•(5)(-4))
  50 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Multiplying exponents :

 3.2    5²  multiplied by  5⁴   = 5^{(2 + 4)} = 5⁶

Final result :

    231             
  ——————— = 0.00046 
  (25•56)