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): "4.172" was replaced by "(4172/1000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  4172
  ———— • ((2)(-4)•(5)(-4))
  1000

Step  2  :

            1043
 Simplify   ————
            250 

Equation at the end of step  2  :

  1043
  ———— • ((2)(-4)•(5)(-4))
  250 

Step  3  :

Multiplying exponents :

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

Multiplying exponents :

 3.2    5³  multiplied by  5⁴   = 5^{(3 + 4)} = 5⁷

Final result :

    1043            
  ——————— = 0.00042 
  (25•57)