Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

Equation at the end of step  1  :

Step  2  :

 2.1     9 = 32

(9)³ = (3²)³ = 3⁶

Equation at the end of step  2  :

Step  3  :

Equation at the end of step  3  :

Step  4  :

 4.1     9 = 32

(9)^-2 = (3²)^(-2) = (3)^(-4)

Equation at the end of step  4  :

Step  5  :

Dividing exponents :

 5.1    3³   divided by   3⁴   = 3^{(3 - 4)} = 3^(-1) = ¹/_3¹ = ¹/₃

Equation at the end of step  5  :

  1
  — • 36) ÷ 32
  3

Step  6  :

Dividing exponents :

 6.1    3⁶   divided by   3¹   = 3^{(6 - 1)} = 3⁵

Equation at the end of step  6  :

Step  7  :

            243
 Simplify   ———
            32 

Dividing exponents :

 7.1    3⁵   divided by   3²   = 3^{(5 - 2)} = 3³

Final result :

  27