Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)⁶ = (2•3)⁶ = 2⁶ • 3⁶

Equation at the end of step  1  :

           (324) 
  (218) • ———————
          (26•36)

Step  2  :

Equation at the end of step  2  :

            324  
  (218) • ———————
          (26•36)

Step  3  :

              324  
 Simplify   ———————
            (26•36)

Dividing exponents :

 3.1    3²⁴   divided by   3⁶   = 3^{(24 - 6)} = 3¹⁸

Equation at the end of step  3  :

          318
  (218) • ———
          64 

Step  4  :

Equation at the end of step  4  :

        318
  218 • ———
        64 

Step  5  :

Dividing exponents :

 5.1    2¹⁸   divided by   2⁶   = 2^{(18 - 6)} = 2¹²

Final result :

  (212•318)