Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)³ = (2•3)³ = 2³ • 3³

Equation at the end of step  1  :

Step  2  :

 2.1     6 = 2•3

(6)⁸ = (2•3)⁸ = 2⁸ • 3⁸

Equation at the end of step  2  :

Step  3  :

            (28•38)
 Simplify   ———————
            (23•33)

Dividing exponents :

 3.1    2⁸   divided by   2³   = 2^{(8 - 3)} = 2⁵

Dividing exponents :

 3.2    3⁸   divided by   3³   = 3^{(8 - 3)} = 3⁵

Final result :

  7776