1. Calculate each power and operation individually:
   • $4^2=164^2\; =\; 16$
     
   • $3^2=93^2\; =\; 9$
     
   • $2^3=82^3\; =\; 8$
     
2. Substitute these values into the expression: $16+5\cdot 9-16÷816\; +\; 5\; \backslash cdot\; 9\; –\; 16\; \backslash div\; 8$
   
3. Perform multiplication and division from left to right:
   • $5\cdot 9=455\; \backslash cdot\; 9\; =\; 45$
     
   • $16÷8=216\; \backslash div\; 8\; =\; 2$
     

   So the expression now is: $16+45-216\; +\; 45\; –\; 2$
   

4. Add and subtract from left to right:
   • $16+45=6116\; +\; 45\; =\; 61$
     
   • $61-2=5961\; –\; 2\; =\; 59$
     

Answer:
The correct answer is 59.