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  :

  5))9 
  ———————
  (29•59)

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

  5))9 
  ———————
  (29•59)

Step  4  :

Equation at the end of step  4  :

  5)9 
  ———————
  (29•59)

Step  5  :

                            9   
 Divide  (32•25•55)  by  ———————
                         (29•59)

Multiplying exponents :

 5.1    2⁵  multiplied by  2⁹   = 2^{(5 + 9)} = 2¹⁴

Multiplying exponents :

 5.2    5⁵  multiplied by  5⁹   = 5^{(5 + 9)} = 5¹⁴

Canceling Out :

 5.3      Canceling out  3² as it appears on both sides of the fraction line

Final result :

  (214•514)