Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)² = (2•3)² = 2² • 3²

Equation at the end of step  1  :

            (37) 
  (218) • ———————
          (22•32)

Step  2  :

Equation at the end of step  2  :

             37  
  (218) • ———————
          (22•32)

Step  3  :

               37  
 Simplify   ———————
            (22•32)

Dividing exponents :

 3.1    3⁷   divided by   3²   = 3^{(7 - 2)} = 3⁵

Equation at the end of step  3  :

          243
  (218) • ———
           4 

Step  4  :

Equation at the end of step  4  :

        243
  218 • ———
         4 

Step  5  :

Dividing exponents :

 5.1    2¹⁸   divided by   2²   = 2^{(18 - 2)} = 2¹⁶

Final result :

  (216•35)