Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)⁹ = (2•3)⁹ = 2⁹ • 3⁹

Equation at the end of step  1  :

Step  2  :

 2.1     6 = 2•3

(6)¹⁵ = (2•3)¹⁵ = 2¹⁵ • 3¹⁵

Equation at the end of step  2  :

Step  3  :

            (215•315)
 Simplify   —————————
             (29•39) 

Dividing exponents :

 3.1    2¹⁵   divided by   2⁹   = 2^{(15 - 9)} = 2⁶

Dividing exponents :

 3.2    3¹⁵   divided by   3⁹   = 3^{(15 - 9)} = 3⁶

Final result :

  (26•36)