Solution - Power equations

Step  1  :

 1.1     9 = 32

(9)³ = (3²)³ = 3⁶

Equation at the end of step  1  :

Step  2  :

 2.1     9 = 32

(9)⁵ = (3²)⁵ = 3¹⁰

Equation at the end of step  2  :

Step  3  :

            310
 Simplify   ———
            36 

Dividing exponents :

 3.1    3¹⁰   divided by   3⁶   = 3^{(10 - 6)} = 3⁴

Final result :

  81