Solution - Power equations

Step  1  :

 1.1     162 = 2•34

(162)¹ = (2•3⁴)¹ = 2 • 3⁴

Equation at the end of step  1  :

Step  2  :

            (2•34)
 Simplify   ——————
              3   

Dividing exponents :

 2.1    3⁴   divided by   3¹   = 3^{(4 - 1)} = 3³

Final result :

  54