Wat is the simplified expression for 3^-4 • 2^3 • 3^2 over 2^4 • 3^-3

The answer is:  "" . 
______________________________________________ 
          (or, write as: "1½" ; or,  "1.5").
______________________________________________
Explanation:
______________________________________________
We are asked to simplify the given expression:
______________________________________________
  →    ;
______________________________________________
Note:  In the "numerator" :
_________________________
   →  2³  =  2 × 2 × 2  =  8 .

   →  3²  =  3 × 3  =  9 .
_________________________
Note:  In the "denominator" :
_________________________
   →  2⁴  =  2 × 2 × 2 × 2 = 16 .
_____________________________
     So, rewrite our expression; substituting "8" for "(2³)";
and substituting "9" for "(3²)" — [in the numerator] ;
and substituting:  "16" for "(2⁴)" — [in the denominator] ;
_____________________________________________________
   → AS FOLLOWS:
_____________________________________________________
   →   ;

          =   ;
_____________________________________________________
   →  Since we have an "8" in the "numerator"; and a "16" in the "denominator" —respectively;  and since both values, taken individually in the numerator—and taken individually in the denominator— are multiplied by other values as isolated numbers;  we can "cancel out" the "8" in the "numerator" to a "1"; and change the "16" in the "denominator" to a "2" ;  since:
            "16÷8 = 2" ; and since "8÷8=1" ;  that is: "8/16 = 1/2".  We can then "eliminate" the "1" in the "numerator";  since in the numerator, there are other values that are multiplied by this "1" ;  & any value multiplied by "1" is equal to that same value.
___________________________________________
So we can rewrite the expression, as follows:
___________________________________________
   →  ;  

↔ Rearrange and rewrite as follows:
_______________________________________
     →    

    =   ;
____________________________________
   → Note the following properties of exponents:
__________________________________________
         ⇒  ( ⁿ  =    ;  
                      → (b ≠ 0) ; 
__________________________________________
         ⇒  ( )ⁿ =  a;
__________________________________________
         ⇒  ;

and especially:

         ⇒;

and especially:

         ⇒   ;  (a );                       If "n" is a positive integer; and if "a" is a non-zero real number. 
   _____________________________________________________
         →  So;  (3⁻⁴) / (3⁻³)  = 3⁽⁽⁻⁴ ⁻ ⁽⁻³⁾⁾ = 3⁽⁻⁴ ⁺ ³⁾ = 3⁻¹  
                                         =  ;  
_______________________________________________________
         →  Rewrite the expression:
_________________________________________
         →   ; 
 
               =   ; or; write as: " 1 ½ " ; or, write as: " 1.5 ".
_______________________________________________________