Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)³ = (2•3)³ = 2³ • 3³

Equation at the end of step  1  :

          (310) 
  (26) • ———————
         (23•33)

Step  2  :

Equation at the end of step  2  :

           310  
  (26) • ———————
         (23•33)

Step  3  :

              310  
 Simplify   ———————
            (23•33)

Dividing exponents :

 3.1    3¹⁰   divided by   3³   = 3^{(10 - 3)} = 3⁷

Equation at the end of step  3  :

         2187
  (26) • ————
          8  

Step  4  :

Equation at the end of step  4  :

       2187
  26 • ————
        8  

Step  5  :

Dividing exponents :

 5.1    2⁶   divided by   2³   = 2^{(6 - 3)} = 2³

Final result :

  (23•37)