Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)⁸ = (2•3)⁸ = 2⁸ • 3⁸

Equation at the end of step  1  :

Step  2  :

 2.1     6 = 2•3

(6)¹⁴ = (2•3)¹⁴ = 2¹⁴ • 3¹⁴

Equation at the end of step  2  :

Step  3  :

            (214•314)
 Simplify   —————————
             (28•38) 

Dividing exponents :

 3.1    2¹⁴   divided by   2⁸   = 2^{(14 - 8)} = 2⁶

Dividing exponents :

 3.2    3¹⁴   divided by   3⁸   = 3^{(14 - 8)} = 3⁶

Final result :

  (26•36)