Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)⁵ = (2•3)⁵ = 2⁵ • 3⁵

Equation at the end of step  1  :

Step  2  :

            (25•35)
 Simplify   ———————
               6   

Dividing exponents :

 2.1    2⁵   divided by   2¹   = 2^{(5 - 1)} = 2⁴

Dividing exponents :

 2.2    3⁵   divided by   3¹   = 3^{(5 - 1)} = 3⁴

Final result :

  1296