Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)".

Step  1  :

 1.1     10 = 2•5

(10)^-9 = (2•5)^(-9) = (2)^(-9) • (5)^(-9)

Equation at the end of step  1  :

Step  2  :

Equation at the end of step  2  :

  ))589 
  ———————
  (29•59)

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

  ))589 
  ———————
  (29•59)

Step  4  :

Equation at the end of step  4  :

  8)589 
  ———————
  (29•59)

Step  5  :

                          589  
 Divide  (3•28•58)  by  ———————
                        (29•59)

Multiplying exponents :

 5.1    2⁸  multiplied by  2⁹   = 2^{(8 + 9)} = 2¹⁷

Multiplying exponents :

 5.2    5⁸  multiplied by  5⁹   = 5^{(8 + 9)} = 5¹⁷

Final result :

  (3•217•517)                                   
  ——————————— = 5.09338 • 1014 
      589