Solution - Power equations

Step  1  :

            4
 Simplify   —
            3

Equation at the end of step  1  :

       4
  3 • (—)2)
       3

Step  2  :

 2.1     4 = 22

(4)² = (2²)² = 2⁴

Equation at the end of step  2  :

      24
  3 • ——
      32

Step  3  :

Dividing exponents :

 3.1    3¹   divided by   3²   = 3^{(1 - 2)} = 3^(-1) = ¹/_3¹ = ¹/₃

Final result :

  16           
  —— = 5.33333 
  3