Solution - Power equations

Step  1  :

 1.1     9 = 32

(9)⁷ = (3²)⁷ = 3¹⁴

Equation at the end of step  1  :

Step  2  :

 2.1     9 = 32

(9)¹⁰ = (3²)¹⁰ = 3²⁰

Equation at the end of step  2  :

Step  3  :

            320
 Simplify   ———
            314

Dividing exponents :

 3.1    3²⁰   divided by   3¹⁴   = 3^{(20 - 14)} = 3⁶

Final result :

  729