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): "1.64565547" was replaced by "(164565547/100000000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  164565547
  ————————— • ((2)(-4)•(5)(-4))
  100000000

Step  2  :

            164565547
 Simplify   —————————
            100000000

Equation at the end of step  2  :

  164565547
  ————————— • ((2)(-4)•(5)(-4))
  100000000

Step  3  :

Multiplying exponents :

 3.1    2⁸  multiplied by  2⁴   = 2^{(8 + 4)} = 2¹²

Multiplying exponents :

 3.2    5⁸  multiplied by  5⁴   = 5^{(8 + 4)} = 5¹²

Final result :

  (433•380059)           
  ———————————— = 0.00016 
   (212•512)