Solution - Power equations

Step  1  :

 1.1     9 = 32

(9)² = (3²)² = 3⁴

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  :

            36
 Simplify   ——
            34

Dividing exponents :

 3.1    3⁶   divided by   3⁴   = 3^{(6 - 4)} = 3²

Final result :

  9