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)". 1 more similar replacement(s)

(2): "5.4" was replaced by "(54/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   33          54
  (——•(10-8))•(——•((2)(-9)•(5)(-9)))
   10          10

Step  2  :

            27
 Simplify   ——
            5 

Equation at the end of step  2  :

   33              27
  (—— • (10-8)) • (—— • ((2)(-9)•(5)(-9)))
   10              5 

Step  3  :

Raising to a Power :

 3.1    5¹  multiplied by  5⁹   = 5^{(1 + 9)} = 5¹⁰

Equation at the end of step  3  :

   33                27   
  (—— • (10-8)) • ————————
   10             (510•29) 

Step  4  :

 4.1     10 = 2•5

(10)^-8 = (2•5)^(-8) = (2)^(-8) • (5)^(-8)

Equation at the end of step  4  :

   33                           27   
  (—— • ((2)(-8)•(5)(-8))) • ————————
   10                        (510•29) 

Step  5  :

            33
 Simplify   ——
            10

Equation at the end of step  5  :

   33                           27   
  (—— • ((2)(-8)•(5)(-8))) • ————————
   10                        (510•29) 

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2⁸   = 2^{(1 + 8)} = 2⁹

Multiplying exponents :

 6.2    5¹  multiplied by  5⁸   = 5^{(1 + 8)} = 5⁹

Equation at the end of step  6  :

     33        27   
  ——————— • ————————
  (29•59)   (510•29) 

Step  7  :

Multiplying exponents :

 7.1    2⁹  multiplied by  2⁹   = 2^{(9 + 9)} = 2¹⁸

Multiplying exponents :

 7.2    5⁹  multiplied by  5¹⁰   = 5^{(9 + 10)} = 5¹⁹

Final result :

     891                                      
  ————————— = 1.78200 • 10-16 
  (218•519)