Solution - Power equations

Step  1  :

Equation at the end of step  1  :

Step  2  :

Equation at the end of step  2  :

Step  3  :

 3.1     6 = 2•3

(6)¹⁴ = (2•3)¹⁴ = 2¹⁴ • 3¹⁴

Equation at the end of step  3  :

Step  4  :

            (214•314)
 Simplify   —————————
             (25•37) 

Dividing exponents :

 4.1    2¹⁴   divided by   2⁵   = 2^{(14 - 5)} = 2⁹

Dividing exponents :

 4.2    3¹⁴   divided by   3⁷   = 3^{(14 - 7)} = 3⁷

Final result :

  (29•37)