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): "2.57" was replaced by "(257/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  257
  ——— • ((2)(-4)•(5)(-4))
  100

Step  2  :

            257
 Simplify   ———
            100

Equation at the end of step  2  :

  257
  ——— • ((2)(-4)•(5)(-4))
  100

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁴   = 2^{(2 + 4)} = 2⁶

Multiplying exponents :

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

Final result :

    257             
  ——————— = 0.00026 
  (26•56)