Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)". 2 more similar replacement(s)

Step  1  :

 1.1     9 = 32

(9)^-2 = (3²)^(-2) = (3)^(-4)

Equation at the end of step  1  :

Step  2  :

Equation at the end of step  2  :

  
 Step  3  :
 3.1     6 = 2•3

(6)^-2 = (2•3)^(-2) = (2)^(-2) • (3)^(-2)

Equation at the end of step  3  :

  ))1 
  ————
  6561

Step  4  :

            1           1 
 Divide  ———————  by  ————
         (22•32)      6561

 4.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

   1          1           1        6561
———————  ÷  ————   =   ———————  •  ————
(22•32)     6561       (22•32)      1  

Dividing exponents :

 4.2    3⁸   divided by   3²   = 3^{(8 - 2)} = 3⁶

Final result :

  729             
  ——— = 182.25000 
   4