Solution - Power equations

Step  1  :

            216
 Simplify   ———
            125

Equation at the end of step  1  :

  216
 (———)1) ÷ 2
  125

Step  2  :

 2.1     216 = 23•33

(216)¹ = (2³•3³)¹ = 2³ • 3³  2.2     125 = 5³ (125)¹ = (5³)¹ = 5³

Equation at the end of step  2  :

  (23•33)
  ——————— ÷ 2
    53   

Step  3  :

         (23•33)      
 Divide  ———————  by  2
           53         

Dividing exponents :

 3.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Final result :

  108           
  ——— = 0.86400 
  125