Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)".

(2): "2.289" was replaced by "(2289/1000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  2289
  ———— • ((2)(-5)•(5)(-5))
  1000

Step  2  :

            2289
 Simplify   ————
            1000

Equation at the end of step  2  :

  2289
  ———— • ((2)(-5)•(5)(-5))
  1000

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2⁵   = 2^{(3 + 5)} = 2⁸

Multiplying exponents :

 3.2    5³  multiplied by  5⁵   = 5^{(3 + 5)} = 5⁸

Final result :

    2289            
  ——————— = 0.00002 
  (28•58)