Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

Step  1  :

             9
 Simplify   ——
            16

Equation at the end of step  1  :

  (9
 (——)-3) ÷ 2
  16

Step  2  :

 2.1     9 = 32

(9)^-3 = (3²)^(-3) = (3)^(-6)  2.2     16 = 2⁴ (16)^-3 = (2⁴)^(-3) = (2)^(-12)

Equation at the end of step  2  :

   (3)(-6)
  ———————— ÷ 2
  (2)(-12)

Step  3  :

          (3)(-6)      
 Divide  ————————  by  2
         (2)(-12)      

Dividing exponents :

 3.1    2¹²   divided by   2¹   = 2^{(12 - 1)} = 2¹¹

Final result :

  2048           
  ———— = 2.80933 
  729