Solution - Power equations

Step  1  :

 1.1     81 = 34

(81)¹ = (3⁴)¹ = 3⁴

Equation at the end of step  1  :

  (272)   34
  ————— • ——
    3     4 

Step  2  :

            34
 Simplify   ——
            4 

Equation at the end of step  2  :

  (272)   81
  ————— • ——
    3     4 

Step  3  :

 3.1     27 = 33

(27)² = (3³)² = 3⁶

Equation at the end of step  3  :

  36   81
  —— • ——
  3    4 

Step  4  :

            36
 Simplify   ——
            3 

Dividing exponents :

 4.1    3⁶   divided by   3¹   = 3^{(6 - 1)} = 3⁵

Equation at the end of step  4  :

        81
  243 • ——
        4 

Step  5  :

Final result :

  19683              
  ————— = 4920.75000 
    4