Solution - Power equations

Step  1  :

 1.1     14 = 2•7

(14)⁵ = (2•7)⁵ = 2⁵ • 7⁵

Equation at the end of step  1  :

Step  2  :

 2.1     14 = 2•7

(14)¹⁵ = (2•7)¹⁵ = 2¹⁵ • 7¹⁵

Equation at the end of step  2  :

Step  3  :

            (215•715)
 Simplify   —————————
             (25•75) 

Dividing exponents :

 3.1    2¹⁵   divided by   2⁵   = 2^{(15 - 5)} = 2¹⁰

Dividing exponents :

 3.2    7¹⁵   divided by   7⁵   = 7^{(15 - 5)} = 7¹⁰

Final result :

  (210•710)