Solution - Simplification or other simple results

Step  1  :

 1.1     6 = 2•3

(6)⁷ = (2•3)⁷ = 2⁷ • 3⁷

Equation at the end of step  1  :

  (69) • (27•37)

Step  2  :

 2.1     6 = 2•3

(6)⁹ = (2•3)⁹ = 2⁹ • 3⁹

Equation at the end of step  2  :

  (29•39) • (27•37)

Step  3  :

Multiplying exponents :

 3.1    2⁹  multiplied by  2⁷   = 2^{(9 + 7)} = 2¹⁶

Multiplying exponents :

 3.2    3⁹  multiplied by  3⁷   = 3^{(9 + 7)} = 3¹⁶

Final result :

  (216•316)