Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

Step  1  :

            2
 Simplify   —
            3

Equation at the end of step  1  :

   3      2
  {—}-2 ÷ —
   2      3

Step  2  :

            3
 Simplify   —
            2

Equation at the end of step  2  :

  3       2
 (—)-2) ÷ —
  2       3

Step  3  :

Equation at the end of step  3  :

  (3)(-2)   2
  ——————— ÷ —
  (2)(-2)   3

Step  4  :

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

 4.1    Dividing fractions

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

(3)(-2)     2       (3)(-2)     3
———————  ÷  —   =   ———————  •  —
(2)(-2)     3       (2)(-2)     2

Dividing exponents :

 4.2    3¹   divided by   3²   = 3^{(1 - 2)} = 3^(-1) = ¹/_3¹ = ¹/₃

Dividing exponents :

 4.3    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Final result :

  2           
  — = 0.66667 
  3