Solution - Simplification or other simple results

Step  1  :

 1.1     6 = 2•3

(6)⁵ = (2•3)⁵ = 2⁵ • 3⁵

Equation at the end of step  1  :

  (62) • (25•35)

Step  2  :

 2.1     6 = 2•3

(6)² = (2•3)² = 2² • 3²

Equation at the end of step  2  :

  (22•32) • (25•35)

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁵   = 2^{(2 + 5)} = 2⁷

Multiplying exponents :

 3.2    3²  multiplied by  3⁵   = 3^{(2 + 5)} = 3⁷

Final result :

  (27•37)